I was able to easily hide my persistent notification, and still get the actual notifications for messages.
I understand it should use more battery, but my phones still last multiple days even with F-Droid versions of Element and Telegram running 24/7.
One real annoyance is that after upgrading the apps, I need to start them again manually. Otherwise I won't receive any notifications until I do. IIRC with the Google Play versions, the push notifications will arrive and cause the app to start.