When I stopped instance_1 and performed operations on instance_2; I see publish events in instance_2's message_log. Afterwards, I started instance_1; there is radio silence in instance_1's message_log. I noticed following on error_log. It seems like instance_1 is trying to figure out change test~4.
[2021-01-14T20:48:40.019+0000] [main] INFO com.google.gerrit.pgm.Daemon : Gerrit Code Review 3.2.6 ready
[2021-01-14T20:48:55.149+0000] [plugin-manager-preloader] INFO com.googlesource.gerrit.plugins.manager.OnStartStop : 73 plugins successfully pre-loaded
[2021-01-14T20:49:08.269+0000] [Forwarded-Index-Event-1] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Change test~41 not present yet in local Git repository (event=Optional[ChangeIndexEvent{eventCreatedOn=2021-01-14T13:58:13, project=test, changeId=41, targetSha=5707de52db10735ccd692951c7f13b18c8d69247, deleted=false}]) after 1 attempt(s)
[2021-01-14T20:49:08.269+0000] [Forwarded-Index-Event-1] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Retrying for the #2 time to index Change test~41 after 30000 msecs
[2021-01-14T20:49:08.278+0000] [Forwarded-Index-Event-2] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Change test~41 not present yet in local Git repository (event=Optional[ChangeIndexEvent{eventCreatedOn=2021-01-14T17:57:15, project=test, changeId=41, targetSha=5707de52db10735ccd692951c7f13b18c8d69247, deleted=false}]) after 1 attempt(s)
[2021-01-14T20:49:08.278+0000] [Forwarded-Index-Event-2] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Retrying for the #2 time to index Change test~41 after 30000 msecs
[2021-01-14T20:49:08.283+0000] [Forwarded-Index-Event-3] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Change test~41 not present yet in local Git repository (event=Optional[ChangeIndexEvent{eventCreatedOn=2021-01-14T17:57:20, project=test, changeId=41, targetSha=a8a4088ffdd19a7dff504cdab93918aeac766c5e, deleted=false}]) after 1 attempt(s)
[2021-01-14T20:49:08.283+0000] [Forwarded-Index-Event-3] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Retrying for the #2 time to index Change test~41 after 30000 msecs
[2021-01-14T20:49:38.271+0000] [Forwarded-Index-Event-3] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Change test~41 not present yet in local Git repository (event=Optional[ChangeIndexEvent{eventCreatedOn=2021-01-14T13:58:13, project=test, changeId=41, targetSha=5707de52db10735ccd692951c7f13b18c8d69247, deleted=false}]) after 2 attempt(s)
[2021-01-14T20:49:38.271+0000] [Forwarded-Index-Event-3] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Retrying for the #3 time to index Change test~41 after 30000 msecs
[2021-01-14T20:49:38.279+0000] [Forwarded-Index-Event-4] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Change test~41 not present yet in local Git repository (event=Optional[ChangeIndexEvent{eventCreatedOn=2021-01-14T17:57:15, project=test, changeId=41, targetSha=5707de52db10735ccd692951c7f13b18c8d69247, deleted=false}]) after 2 attempt(s)
[2021-01-14T20:49:38.279+0000] [Forwarded-Index-Event-4] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Retrying for the #3 time to index Change test~41 after 30000 msecs
[2021-01-14T20:49:38.284+0000] [Forwarded-Index-Event-2] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Change test~41 not present yet in local Git repository (event=Optional[ChangeIndexEvent{eventCreatedOn=2021-01-14T17:57:20, project=test, changeId=41, targetSha=a8a4088ffdd19a7dff504cdab93918aeac766c5e, deleted=false}]) after 2 attempt(s)
[2021-01-14T20:49:38.284+0000] [Forwarded-Index-Event-2] WARN com.googlesource.gerrit.plugins.multisite.forwarder.ForwardedIndexChangeHandler : Retrying for the #3 time to index Change test~41 after 30000 msecs