diff --git a/src/libexpr/flake/flakeref.cc b/src/libexpr/flake/flakeref.cc
index 0a53037fa..0d2c7f414 100644
--- a/src/libexpr/flake/flakeref.cc
+++ b/src/libexpr/flake/flakeref.cc
@@ -231,7 +231,7 @@ FlakeRef FlakeRef::fromAttrs(const fetchers::Attrs & attrs)
 
 std::pair<ref<InputAccessor>, FlakeRef> FlakeRef::lazyFetch(ref<Store> store) const
 {
-    auto [accessor, lockedInput] = input.lazyFetch(store);
+    auto [accessor, lockedInput] = input.getAccessor(store);
     return {accessor, FlakeRef(std::move(lockedInput), subdir)};
 }
 
diff --git a/src/libexpr/primops/fetchTree.cc b/src/libexpr/primops/fetchTree.cc
index 1bbb0f507..34316c3a5 100644
--- a/src/libexpr/primops/fetchTree.cc
+++ b/src/libexpr/primops/fetchTree.cc
@@ -184,7 +184,7 @@ static void fetchTree(
         state.debugThrowLastTrace(EvalError("in pure evaluation mode, 'fetchTree' requires a locked input, at %s", state.positions[pos]));
 
     if (params.returnPath) {
-        auto [accessor, input2] = input.lazyFetch(state.store);
+        auto [accessor, input2] = input.getAccessor(state.store);
 
         state.registerAccessor(accessor);
 
diff --git a/src/libfetchers/fetchers.cc b/src/libfetchers/fetchers.cc
index f17e4e85a..4ddc86982 100644
--- a/src/libfetchers/fetchers.cc
+++ b/src/libfetchers/fetchers.cc
@@ -119,7 +119,7 @@ std::pair<StorePath, Input> Input::fetchToStore(ref<Store> store) const
 
     auto [storePath, input] = [&]() -> std::pair<StorePath, Input> {
         try {
-            return scheme->fetch(store, *this);
+            return scheme->fetchToStore(store, *this);
         } catch (Error & e) {
             e.addTrace({}, "while fetching the input '%s'", to_string());
             throw;
@@ -159,13 +159,13 @@ void Input::checkLocked(Store & store, const StorePath & storePath, Input & inpu
     assert(input.hasAllInfo());
 }
 
-std::pair<ref<InputAccessor>, Input> Input::lazyFetch(ref<Store> store) const
+std::pair<ref<InputAccessor>, Input> Input::getAccessor(ref<Store> store) const
 {
     if (!scheme)
         throw Error("cannot fetch unsupported input '%s'", attrsToJSON(toAttrs()));
 
     try {
-        return scheme->lazyFetch(store, *this);
+        return scheme->getAccessor(store, *this);
     } catch (Error & e) {
         e.addTrace({}, "while fetching the input '%s'", to_string());
         throw;
@@ -298,9 +298,9 @@ void InputScheme::clone(const Input & input, const Path & destDir)
     throw Error("do not know how to clone input '%s'", input.to_string());
 }
 
-std::pair<StorePath, Input> InputScheme::fetch(ref<Store> store, const Input & input)
+std::pair<StorePath, Input> InputScheme::fetchToStore(ref<Store> store, const Input & input)
 {
-    auto [accessor, input2] = lazyFetch(store, input);
+    auto [accessor, input2] = getAccessor(store, input);
 
     auto source = sinkToSource([&, accessor{accessor}](Sink & sink) {
         accessor->dumpPath(CanonPath::root, sink);
@@ -311,9 +311,9 @@ std::pair<StorePath, Input> InputScheme::fetch(ref<Store> store, const Input & i
     return {storePath, input2};
 }
 
-std::pair<ref<InputAccessor>, Input> InputScheme::lazyFetch(ref<Store> store, const Input & input)
+std::pair<ref<InputAccessor>, Input> InputScheme::getAccessor(ref<Store> store, const Input & input)
 {
-    auto [storePath, input2] = fetch(store, input);
+    auto [storePath, input2] = fetchToStore(store, input);
 
     input.checkLocked(*store, storePath, input2);
 
diff --git a/src/libfetchers/fetchers.hh b/src/libfetchers/fetchers.hh
index 94135512b..1984c4712 100644
--- a/src/libfetchers/fetchers.hh
+++ b/src/libfetchers/fetchers.hh
@@ -69,7 +69,7 @@ public:
     /* Return an InputAccessor that allows access to files in the
        input without copying it to the store. Also return a possibly
        unlocked input. */
-    std::pair<ref<InputAccessor>, Input> lazyFetch(ref<Store> store) const;
+    std::pair<ref<InputAccessor>, Input> getAccessor(ref<Store> store) const;
 
     Input applyOverrides(
         std::optional<std::string> ref,
@@ -134,18 +134,13 @@ struct InputScheme
 
     virtual void markChangedFile(const Input & input, std::string_view file, std::optional<std::string> commitMsg);
 
-    /* Note: the default implementations of fetch() and lazyFetch()
-       are defined using the other, so implementations have to
-       override at least one. */
+    /* Note: the default implementations of fetchToStore() and
+       getAccessor() are defined using the other, so implementations
+       have to override at least one. */
 
-    virtual std::pair<StorePath, Input> fetch(ref<Store> store, const Input & input);
+    virtual std::pair<StorePath, Input> fetchToStore(ref<Store> store, const Input & input);
 
-    virtual std::pair<ref<InputAccessor>, Input> lazyFetch(ref<Store> store, const Input & input);
-
-    virtual ref<InputAccessor> getAccessor()
-    {
-        throw UnimplementedError("getAccessor");
-    }
+    virtual std::pair<ref<InputAccessor>, Input> getAccessor(ref<Store> store, const Input & input);
 
     virtual bool isRelative(const Input & input) const
     { return false; }
diff --git a/src/libfetchers/git.cc b/src/libfetchers/git.cc
index ed6e1e7f5..9cbac1c29 100644
--- a/src/libfetchers/git.cc
+++ b/src/libfetchers/git.cc
@@ -447,7 +447,7 @@ struct GitInputScheme : InputScheme
         return *head;
     }
 
-    std::pair<StorePath, Input> fetch(ref<Store> store, const Input & _input) override
+    std::pair<StorePath, Input> fetchToStore(ref<Store> store, const Input & _input) override
     {
         Input input(_input);
 
@@ -718,7 +718,7 @@ struct GitInputScheme : InputScheme
         return {std::move(storePath), input};
     }
 
-    std::pair<ref<InputAccessor>, Input> lazyFetch(ref<Store> store, const Input & _input) override
+    std::pair<ref<InputAccessor>, Input> getAccessor(ref<Store> store, const Input & _input) override
     {
         Input input(_input);
 
@@ -728,7 +728,7 @@ struct GitInputScheme : InputScheme
            Nix store. TODO: We could have an accessor for fetching
            files from the Git repository directly. */
         if (input.getRef() || input.getRev() || !repoInfo.isLocal)
-            return InputScheme::lazyFetch(store, input);
+            return InputScheme::getAccessor(store, input);
 
         repoInfo.checkDirty();
 
diff --git a/src/libfetchers/github.cc b/src/libfetchers/github.cc
index 8756b1937..5409594f7 100644
--- a/src/libfetchers/github.cc
+++ b/src/libfetchers/github.cc
@@ -228,7 +228,7 @@ struct GitArchiveInputScheme : InputScheme
         return {res.storePath, input};
     }
 
-    std::pair<ref<InputAccessor>, Input> lazyFetch(ref<Store> store, const Input & input) override
+    std::pair<ref<InputAccessor>, Input> getAccessor(ref<Store> store, const Input & input) override
     {
         auto [storePath, input2] = downloadArchive(store, input);
 
diff --git a/src/libfetchers/indirect.cc b/src/libfetchers/indirect.cc
index 64f96b141..32ee6719d 100644
--- a/src/libfetchers/indirect.cc
+++ b/src/libfetchers/indirect.cc
@@ -94,9 +94,8 @@ struct IndirectInputScheme : InputScheme
         return input;
     }
 
-    std::pair<StorePath, Input> fetch(ref<Store> store, const Input & input) override
+    std::pair<StorePath, Input> fetchToStore(ref<Store> store, const Input & input) override
     {
-        abort();
         throw Error("indirect input '%s' cannot be fetched directly", input.to_string());
     }
 };
diff --git a/src/libfetchers/mercurial.cc b/src/libfetchers/mercurial.cc
index 5c5671681..4938324c0 100644
--- a/src/libfetchers/mercurial.cc
+++ b/src/libfetchers/mercurial.cc
@@ -145,7 +145,7 @@ struct MercurialInputScheme : InputScheme
         return {isLocal, isLocal ? url.path : url.base};
     }
 
-    std::pair<StorePath, Input> fetch(ref<Store> store, const Input & _input) override
+    std::pair<StorePath, Input> fetchToStore(ref<Store> store, const Input & _input) override
     {
         Input input(_input);
 
diff --git a/src/libfetchers/path.cc b/src/libfetchers/path.cc
index ff95fad7d..20cb934bf 100644
--- a/src/libfetchers/path.cc
+++ b/src/libfetchers/path.cc
@@ -96,34 +96,7 @@ struct PathInputScheme : InputScheme
         throw Error("cannot fetch input '%s' because it uses a relative path", input.to_string());
     }
 
-    std::pair<StorePath, Input> fetch(ref<Store> store, const Input & _input) override
-    {
-        Input input(_input);
-
-        auto absPath = getAbsPath(store, input);
-
-        Activity act(*logger, lvlTalkative, actUnknown, fmt("copying '%s'", absPath));
-
-        // FIXME: check whether access to 'path' is allowed.
-        auto storePath = store->maybeParseStorePath(absPath.abs());
-
-        if (storePath)
-            store->addTempRoot(*storePath);
-
-        time_t mtime = 0;
-        if (!storePath || storePath->name() != "source" || !store->isValidPath(*storePath)) {
-            // FIXME: try to substitute storePath.
-            auto src = sinkToSource([&](Sink & sink) {
-                mtime = dumpPathAndGetMtime(absPath.abs(), sink, defaultPathFilter);
-            });
-            storePath = store->addToStoreFromDump(*src, "source");
-        }
-        input.attrs.insert_or_assign("lastModified", uint64_t(mtime));
-
-        return {std::move(*storePath), input};
-    }
-
-    std::pair<ref<InputAccessor>, Input> lazyFetch(ref<Store> store, const Input & input) override
+    std::pair<ref<InputAccessor>, Input> getAccessor(ref<Store> store, const Input & input) override
     {
         auto absPath = getAbsPath(store, input);
         auto input2(input);
diff --git a/src/libfetchers/tarball.cc b/src/libfetchers/tarball.cc
index e96de316e..ab8f847dd 100644
--- a/src/libfetchers/tarball.cc
+++ b/src/libfetchers/tarball.cc
@@ -250,7 +250,7 @@ struct FileInputScheme : CurlInputScheme
                     : !hasTarballExtension(url.path));
     }
 
-    std::pair<StorePath, Input> fetch(ref<Store> store, const Input & input) override
+    std::pair<StorePath, Input> fetchToStore(ref<Store> store, const Input & input) override
     {
         auto file = downloadFile(store, getStrAttr(input.attrs, "url"), input.getName(), false);
         return {std::move(file.storePath), input};
@@ -271,7 +271,7 @@ struct TarballInputScheme : CurlInputScheme
                     : hasTarballExtension(url.path));
     }
 
-    std::pair<StorePath, Input> fetch(ref<Store> store, const Input & input) override
+    std::pair<StorePath, Input> fetchToStore(ref<Store> store, const Input & input) override
     {
         return {
             downloadTarball(store, getStrAttr(input.attrs, "url"), input.getName(), false).first,
diff --git a/src/nix/registry.cc b/src/nix/registry.cc
index 44eaf89bc..9afa2fb57 100644
--- a/src/nix/registry.cc
+++ b/src/nix/registry.cc
@@ -188,7 +188,7 @@ struct CmdRegistryPin : RegistryCommand, EvalCommand
         auto ref = parseFlakeRef(url);
         auto lockedRef = parseFlakeRef(locked);
         registry->remove(ref.input);
-        auto [accessor, resolved] = lockedRef.resolve(store).input.lazyFetch(store);
+        auto  resolved = lockedRef.resolve(store).input.getAccessor(store).second;
         if (!resolved.isLocked())
             warn("flake '%s' is not locked", resolved.to_string());
         fetchers::Attrs extraAttrs;