Implement the skipArchiveExport in the post-package-update triggers.

app/lib/admin/actions/package_publisher_set.dart

@@ -48,7 +48,7 @@ final packagePublisherSet = AdminAction(
       triggerPackagePostUpdates(
         packageName,
         skipReanalysis: true,
-        skipVersionsExport: true,
+        skipArchiveExport: true,
       );
       if (currentPublisherId != null) {
         await purgePublisherCache(publisherId: currentPublisherId);

app/lib/admin/actions/publisher_package_remove.dart

@@ -63,7 +63,7 @@ If the publisher has no members, the package will end up without uploaders.
     triggerPackagePostUpdates(
       packageName,
       skipReanalysis: true,
-      skipVersionsExport: true,
+      skipArchiveExport: true,
     );
     await purgePublisherCache(publisherId: currentPublisherId);
     return {

app/lib/package/api_export/api_exporter.dart

@@ -203,10 +203,14 @@ final class ApiExporter {
   ///
   /// When [forceDelete] is set, the age threshold limit for stray files is
   /// ignored, they will be deleted even if they were updated recently.
+  ///
+  /// When [skipArchives] is set, skip the archive-related exports
+  /// (e.g. public or canonical buckets).
   Future<void> synchronizePackage(
     String package, {
     bool forceWrite = false,
     bool forceDelete = false,
+    bool skipArchives = false,
   }) async {
     _log.info('synchronizePackage("$package")');
 
@@ -229,21 +233,25 @@ final class ApiExporter {
       skipCache: true, // Skipping the cache when fetching security advisories
     );
 
-    final versions = await packageBackend.tarballStorage
-        .listVersionsInCanonicalBucket(package);
+    if (!skipArchives) {
+      final versions = await packageBackend.tarballStorage
+          .listVersionsInCanonicalBucket(package);
 
-    // Remove versions that are not exposed in the public API.
-    versions.removeWhere(
-      (version, _) => !versionListing.versions.any((v) => v.version == version),
-    );
+      // Remove versions that are not exposed in the public API.
+      versions.removeWhere(
+        (version, _) =>
+            !versionListing.versions.any((v) => v.version == version),
+      );
+
+      await _api
+          .package(package)
+          .synchronizeTarballs(
+            versions,
+            forceWrite: forceWrite,
+            forceDelete: forceDelete,
+          );
+    }
 
-    await _api
-        .package(package)
-        .synchronizeTarballs(
-          versions,
-          forceWrite: forceWrite,
-          forceDelete: forceDelete,
-        );
     await _api
         .package(package)
         .advisories

app/lib/package/backend.dart

@@ -567,7 +567,7 @@ class PackageBackend {
         ),
       );
     });
-    triggerPackagePostUpdates(package, skipVersionsExport: true);
+    triggerPackagePostUpdates(package, skipArchiveExport: true);
   }
 
   /// Updates [options] on [package]/[version], assuming the current user
@@ -929,7 +929,7 @@ class PackageBackend {
     triggerPackagePostUpdates(
       packageName,
       skipReanalysis: true,
-      skipVersionsExport: true,
+      skipArchiveExport: true,
     );
     return rs;
   }
@@ -2446,10 +2446,8 @@ class _VersionTransactionDataAcccess {
   /// Skip triggering a new export to the CDN bucket.
   bool skipExport = false,
 
-  /// Skip only the version-related exports to the CDN bucket, keeps the
-  /// package-related operations.
-  /// TODO: implement this in API exporter.
-  bool skipVersionsExport = false,
+  /// Skip only the archive-related exports to the CDN bucket.
+  bool skipArchiveExport = false,
 
   /// Pass the force-deletion flag to the package export operation.
   bool exportForceDelete = false,
@@ -2476,7 +2474,7 @@ class _VersionTransactionDataAcccess {
         () => apiExporter.synchronizePackage(
           package,
           forceDelete: exportForceDelete,
-          // TODO: implement and use [skipVersionsExport]
+          skipArchives: skipArchiveExport,
         ),
       ),
   ];