How to only auto-restart BGW only on crash or _PG_init

I would be grateful for some direction on how to use Background workers to have a worker automatically restart *only* in certain cases, i.e. on postmaster start (_PG_init) or a soft crash.  I run into all sorts of trouble if I set bgw_restart_time to actually restart on sigterm, because in most cases I don't want it to restart (i.e. it was launched with invalid config, the SQL becomes invalid...).  But I *do* want it to auto-restart in any kind of crash.  If I set bgw_restart_time to never restart, then it doesn't restart after a soft crash, which I want.

This is for my extension pglogical_ticker, and specifically within this main function where a sigterm might happen:

I have tried several things unsuccessfully (checking result of SPI_execute or SPI_connect) , usually resulting in a constantly restarting and failing worker.  So, is there a straightforward way to only have the worker auto-restart in a very narrow range of cases?

Many thanks!

Jeremy