One issue I have with tmux is that you can't resize the window to the current device. The developers seems to be very adament that it isn't implemented.
Currently tmux will adapt the size to the smallest (on each axis) client. This doesn't work well with persistent connections from a phone and PC since they typically have quite different window sizes.
In screen I hit ctrl-a + F to resize to current client and I miss it every time I use tmux.
Unfortunately I still prefer tmux, worth trying out if you haven't!