Do postgres autovacuum properties persist for DB replications?
VACUUM (both manual and auto) do not run on a physical replica.  The results of a VACUUM running on the master get replicated over, just like other changes do.  Per-table vacuum settings are stored in database catalog tables, and so get replicated over, but they have no effect unless/until the replica gets promoted.

For logical replica, its VACUUM settings are completely separate from the publisher.  Both the server-level and table-level settings are just whatever you set them to.