I don't want to detach my desktop just because I want to check current status on my phone. Maybe I have two sessions on two computers and I, temporarily for a few commands, want to go fullscreen. With tmux I have to detach the other client(s), go fullscreen, and when done I have to reattach the client(s). This for something that takes a command to adapt and again recover in screen.
It is just an inconvenience, nothing huge, but big enough to obstruct my flow.