and connect to it with an iPad that has a Jellyfin client installed?

In my experience, you don’t even need the dedicated Jellyfin client. Just opening it up in a web browser works out of the box, so that’s potentially one less thing to download/install/manage for the clients.

That said, I’ve never tried to access Jellyfin from an iPad/iPhone/Mac so it might not be as seamless as my experiences on Android/Linux based devices. But I imagine they’d be fine; just test it out before you hit the road.

Ohh, I’m dumb

Any immutable distro, Debian, Ubuntu, all their derivatives

Debian and Ubuntu are not immutable distributions by default, unless I am mistaken.