I must be missing something fundamental. tmux is a terminal multiplexer, as in you get to run multiple virtual terminals over a single actual terminal (eg ssh). And then tmuxc breaks these virtual terminals out into actual terminals?
Why do you need tmux at all in that case, just fire up a bunch of terminals?
tmux, for me, is about session persistence. I run multiple tmux sessions on a bastion host at work. tmuxc lets me reconnect to them each morning and then move them around my monitors as I see fit. I can hit a single key combination and have a new terminal open up with a shell on my bastion host - or any other host that I have a tmux/tmuxc session on.
Why do you need tmux at all in that case, just fire up a bunch of terminals?