autoprewarm main function not tested background worker not listed in pg_stat_activity

Hi.
https://coverage.postgresql.org/contrib/pg_prewarm/autoprewarm.c.gcov.html
function autoprewarm_start_worker never gets tested, but
autoprewarm_start_worker listed in our doc
(https://www.postgresql.org/docs/16/pgprewarm.html)
Maybe we should test it.

also this part in function autoprewarm_main not tested.
     247             :             /* Compute the next dump time. */
     248           0 :             next_dump_time =
     249           0 :
TimestampTzPlusMilliseconds(last_dump_time,
     250             :
autoprewarm_interval * 1000);
     251             :             delay_in_ms =
     252           0 :
TimestampDifferenceMilliseconds(GetCurrentTimestamp(),
     253             :
next_dump_time);
     254             :
     255             :             /* Perform a dump if it's time. */
     256           0 :             if (delay_in_ms <= 0)
     257             :             {
     258           0 :                 last_dump_time = GetCurrentTimestamp();
     259           0 :                 apw_dump_now(true, false);
     260           0 :                 continue;
     261             :             }
     262             :
     263             :             /* Sleep until the next dump time. */
     264           0 :             (void) WaitLatch(MyLatch,
     265             :                              WL_LATCH_SET |
WL_TIMEOUT | WL_EXIT_ON_PM_DEATH,
     266             :                              delay_in_ms,
     267             :                              WAIT_EVENT_EXTENSION);

I don't fully understand this module, but I kind of get the meaning of
the worker_spi module.

i didn't configure shared_preload_libraries.
I changed from
worker.bgw_flags = BGWORKER_SHMEM_ACCESS;
to
worker.bgw_flags = BGWORKER_SHMEM_ACCESS |
BGWORKER_BACKEND_DATABASE_CONNECTION;

but still, the following query will not list the autoprewarm background worker.
SELECT  datname, pid, state, backend_type, wait_event_type, wait_event
FROM    pg_stat_activity;

I thought pg_stat_activity will list all related pid for this cluster.
but it seems not in this case.
So here, is it a good idea to make the autoprewarm background worker
listed in pg_stat_activity?