It was definitely persistent SSH sessions that first got me hooked on screen, later tmux. I've played around with mosh, but it hasn't entirely played nice with other aspects of my workflow.

But even purely locally, tmux lets me nohup services (e.g. a flask server I'm working on) without them dying if terminal closes. Reattaching to the window the server runs in is simple. And with tmux- resurrect, I can save/restore the state of the panes I use on restart. A resurrect even relaunches some applications like htop and vim, and at least puts panes in the saved PWD if not.

All that said, the folks who want a beginner friendly os.clear() are probably not ones who tweak tmux plugins and key bindings.