What are the replacement tools I should be looking at as a casual user of screen?
If you want a rethinking of the idea: zellij.
I prefer the latter. It matches my mental model of such things, and lots of people talk about enjoying switching to it. Many others happily use the former daily.
I've had some luck with mosh, but that also seems kind of moribund.
For my use case it's fine.
I guess, but does it really get in the way?
I use tmux only for scrollback and having multiple "tabs" and sessions, and not much else. But the more advanced stuff like splits and whatnot never really get in my way.