Yeah, Jellyfin was my best example. I've got the motions memorized, to get to the admin panel, as well but Homepage is my homepage so it saves those few seconds. I agree otherwise about urgent messages. Important stuff of mine hits a Discord webhook for now.
Eventually I'll set up some other alternative to get push notifications. I took the time to write a few half-assed cogs for pycord, and I enjoy(ed) the process and using them, but I don't really trust the platform. I might need to give good old IRC a go again. I'm sure some Android client can do push notifications on a specific channel/sender basis.