The thing is, after it does its initial full table sync for table b, I see this in the logs:

tap-postgres (out)     | {"type": "STATE", "value": {"currently_syncing": null, "bookmarks": {"public-a": {"last_replication_method": "LOG_BASED", "lsn": 37343008, "version": 1626377961324, "xmin": null}, "public-b": {"last_replication_method": "LOG_BASED", "lsn": 37552648, "version": 1626378822547, "xmin": null}}}}