We can introduce new version of SYSTEM SYNC REPLICA which will wait only for in-progress lightweight entries: GET_PART, DROP_RANGE, ATTACH_PART, DROP_PART. All other types of entries can be ignored.

Let's control it with setting SYSTEM SYNC REPLICA SETTINGS wait_only_lightweight_entries=1. But other options are also welcome.

Pros: Unfortunately sometimes we can postpone execution of some lightweight entries because we already executing heavy-weight.