

More than likely it is Doze. https://developer.android.com/training/monitoring-device-state/doze-standby
Supposedly disabling battery restrictions on an app disables Doze, but in practice it doesn’t seem to make much difference.
It has been a thing off and on with Android since Doze was introduced.
The privacy conscious choice is to not use Plex at this point. It is only a matter of time before they start directly screwing with private library’s.