diff --git a/midx.c b/midx.c
index dc0c728401..2d4feeeade 100644
--- a/midx.c
+++ b/midx.c
@@ -470,7 +470,7 @@ int prepare_midx_pack(struct multi_pack_index *m,
 	strbuf_addf(&pack_name, "%s/pack/%s", packed->base.path,
 		    m->pack_names[pack_int_id]);
 	p = packfile_store_load_pack(packed,
-				     pack_name.buf, packed->base.local);
+				     pack_name.buf, packed->local);
 	strbuf_release(&pack_name);
 
 	if (!p) {
diff --git a/odb/source-files.c b/odb/source-files.c
index 9788a5adf4..5b4277fbfd 100644
--- a/odb/source-files.c
+++ b/odb/source-files.c
@@ -33,7 +33,7 @@ struct odb_files_dir *odb_files_dir_new(struct object_database *odb,
 	CALLOC_ARRAY(dir, 1);
 	dir->abspath = absolute_pathdup(path);
 	dir->local = local;
-	dir->loose = odb_source_loose_new(odb, path, local);
+	dir->loose = odb_source_loose_new(odb, path);
 	dir->packed = odb_source_packed_new(odb, path, local);
 
 	return dir;
@@ -1265,7 +1265,7 @@ struct odb_source_files *odb_source_files_new(struct object_database *odb,
 		object_dir = xstrfmt("%s/objects", odb->repo->commondir);
 
 	CALLOC_ARRAY(files, 1);
-	odb_source_init(&files->base, odb, ODB_SOURCE_FILES, object_dir, true);
+	odb_source_init(&files->base, odb, ODB_SOURCE_FILES, object_dir);
 
 	hashmap_init(&files->dirs_by_path, odb_files_dir_by_path_cmp, files, 0);
 	files->dirs_paths_icase = -1;
diff --git a/odb/source-inmemory.c b/odb/source-inmemory.c
index 868e723c81..75cf29fa9d 100644
--- a/odb/source-inmemory.c
+++ b/odb/source-inmemory.c
@@ -161,8 +161,12 @@ static int odb_source_inmemory_for_each_object(struct odb_source *source,
 	};
 	struct object_id null_oid = { 0 };
 
-	if ((opts->flags & ODB_FOR_EACH_OBJECT_PROMISOR_ONLY) ||
-	    (opts->flags & ODB_FOR_EACH_OBJECT_LOCAL_ONLY && !source->local))
+	/*
+	 * In-memory objects are neither promisor objects nor do they live in
+	 * the local object directory, so there is nothing to iterate over.
+	 */
+	if (opts->flags & (ODB_FOR_EACH_OBJECT_PROMISOR_ONLY |
+			   ODB_FOR_EACH_OBJECT_LOCAL_ONLY))
 		return 0;
 	if (!inmemory->objects)
 		return 0;
@@ -369,7 +373,7 @@ struct odb_source_inmemory *odb_source_inmemory_new(struct object_database *odb)
 	struct odb_source_inmemory *source;
 
 	CALLOC_ARRAY(source, 1);
-	odb_source_init(&source->base, odb, ODB_SOURCE_INMEMORY, "source", false);
+	odb_source_init(&source->base, odb, ODB_SOURCE_INMEMORY, "source");
 
 	source->base.free = odb_source_inmemory_free;
 	source->base.close = odb_source_inmemory_close;
diff --git a/odb/source-loose.c b/odb/source-loose.c
index 180ce7403f..50cb388c35 100644
--- a/odb/source-loose.c
+++ b/odb/source-loose.c
@@ -464,8 +464,6 @@ static int odb_source_loose_for_each_object(struct odb_source *source,
 	/* There are no loose promisor objects, so we can return immediately. */
 	if ((opts->flags & ODB_FOR_EACH_OBJECT_PROMISOR_ONLY))
 		return 0;
-	if ((opts->flags & ODB_FOR_EACH_OBJECT_LOCAL_ONLY) && !source->local)
-		return 0;
 
 	if (opts->prefix)
 		return oidtree_each(odb_source_loose_cache(loose, opts->prefix),
@@ -1108,13 +1106,12 @@ static int odb_source_loose_fsck(struct odb_source *source,
 }
 
 struct odb_source_loose *odb_source_loose_new(struct object_database *odb,
-					      const char *path,
-					      bool local)
+					      const char *path)
 {
 	struct odb_source_loose *loose;
 
 	CALLOC_ARRAY(loose, 1);
-	odb_source_init(&loose->base, odb, ODB_SOURCE_LOOSE, path, local);
+	odb_source_init(&loose->base, odb, ODB_SOURCE_LOOSE, path);
 
 	loose->base.free = odb_source_loose_free;
 	loose->base.close = odb_source_loose_close;
diff --git a/odb/source-loose.h b/odb/source-loose.h
index 7c7e845fe3..a6ae808662 100644
--- a/odb/source-loose.h
+++ b/odb/source-loose.h
@@ -34,8 +34,7 @@ struct odb_source_loose {
 };
 
 struct odb_source_loose *odb_source_loose_new(struct object_database *odb,
-					      const char *path,
-					      bool local);
+					      const char *path);
 
 /*
  * Cast the given object database source to the loose backend. This will cause
diff --git a/odb/source-packed.c b/odb/source-packed.c
index 48fe00c2bc..7fcbbb4fe9 100644
--- a/odb/source-packed.c
+++ b/odb/source-packed.c
@@ -740,7 +740,7 @@ static void prepare_pack(const char *full_name, size_t full_name_len,
 	      midx_contains_pack(data->source->midx, file_name))) {
 		char *trimmed_path = xstrndup(full_name, full_name_len);
 		packfile_store_load_pack(data->source,
-					 trimmed_path, data->source->base.local);
+					 trimmed_path, data->source->local);
 		free(trimmed_path);
 	}
 
@@ -988,8 +988,9 @@ struct odb_source_packed *odb_source_packed_new(struct object_database *odb,
 	struct odb_source_packed *packed;
 
 	CALLOC_ARRAY(packed, 1);
-	odb_source_init(&packed->base, odb, ODB_SOURCE_PACKED, path, local);
+	odb_source_init(&packed->base, odb, ODB_SOURCE_PACKED, path);
 	strmap_init(&packed->packs_by_path);
+	packed->local = local;
 
 	packed->base.free = odb_source_packed_free;
 	packed->base.close = odb_source_packed_close;
diff --git a/odb/source-packed.h b/odb/source-packed.h
index a0f6b5096d..e8a7b08fbb 100644
--- a/odb/source-packed.h
+++ b/odb/source-packed.h
@@ -41,6 +41,13 @@ struct odb_source_packed {
 	 */
 	struct strmap packs_by_path;
 
+	/*
+	 * Whether this store is part of the local object directory of the
+	 * owning repository. Packfiles loaded via this store inherit this
+	 * flag via `pack_local`. Stores for alternates are not local.
+	 */
+	bool local;
+
 	/*
 	 * Whether packfiles have already been populated with this store's
 	 * packs.
diff --git a/odb/source.c b/odb/source.c
index b25ef14df8..4155fc22da 100644
--- a/odb/source.c
+++ b/odb/source.c
@@ -32,12 +32,10 @@ struct odb_source *odb_source_new(struct object_database *odb,
 void odb_source_init(struct odb_source *source,
 		     struct object_database *odb,
 		     enum odb_source_type type,
-		     const char *path,
-		     bool local)
+		     const char *path)
 {
 	source->odb = odb;
 	source->type = type;
-	source->local = local;
 	source->path = xstrdup(path);
 }
 
diff --git a/odb/source.h b/odb/source.h
index 0cfe762376..8b839caa39 100644
--- a/odb/source.h
+++ b/odb/source.h
@@ -58,14 +58,6 @@ struct odb_source {
 	/* The type used by this source. */
 	enum odb_source_type type;
 
-	/*
-	 * Figure out whether this is the local source of the owning
-	 * repository, which would typically be its ".git/objects" directory.
-	 * This local object directory is usually where objects would be
-	 * written to.
-	 */
-	bool local;
-
 	/*
 	 * Path to the source. If this is a relative path, it is relative to
 	 * the current working directory.
@@ -304,8 +296,6 @@ struct odb_source *odb_source_new(struct object_database *odb,
 
 /*
  * Initialize the source for the given object database located at `path`.
- * `local` indicates whether or not the source is the local and thus primary
- * object source of the object database.
  *
  * This function is only supposed to be called by specific object source
  * implementations.
@@ -313,8 +303,7 @@ struct odb_source *odb_source_new(struct object_database *odb,
 void odb_source_init(struct odb_source *source,
 		     struct object_database *odb,
 		     enum odb_source_type type,
-		     const char *path,
-		     bool local);
+		     const char *path);
 
 /*
  * Free the object database source, releasing all associated resources and
diff --git a/repack.c b/repack.c
index 53c34197f3..4c6d1f507d 100644
--- a/repack.c
+++ b/repack.c
@@ -62,7 +62,7 @@ void repack_remove_redundant_pack(struct repository *repo, const char *dir_name,
 	struct odb_source_files *files = odb_source_files_downcast(repo->objects->source);
 	struct multi_pack_index *m = get_multi_pack_index(files->dirs->packed);
 	strbuf_addf(&buf, "%s.pack", base_name);
-	if (m && files->base.local && midx_contains_pack(m, buf.buf)) {
+	if (m && files->dirs->local && midx_contains_pack(m, buf.buf)) {
 		clear_midx_file(repo);
 		if (!wrote_incremental_midx)
 			clear_incremental_midx_files(repo, NULL);