I would 100% enjoy playing at your table. I’m all for anything that makes the game more enjoyable for the most people, just as you said.
The only thing that really bothers me is when people have problems with a game and don’t talk about it, opting to just flake on the game instead. It’s all about communication.
It’s absolutely allowed.
It’s not as good as previous versions but I am running stock android and I have wifi power saving and phone (background) power saving modes available. I just checked and the estimate of time until zero percent battery goes from 22 hours to 28 hours with the node that limits backup processes, and that is with 59% on the battery.
There was a power save mode on my old phone that made everything grey screen and stuff that was way better. I think I enabled it for a camping trip once and used like 20% battery in 3 days.