Right, but you dont run things _inside_ sublime text. Keep in mind tmux has to play well with hundreds of existing shortcuts that people expect to work.
When you are attached to a tmux, you don't want to override the shortcuts of something you may run inside the tmux.
All the terminal shortcuts are expected to work (Ctrl-E, Ctrl-Arrow, Ctrl-A, Ctrl-E, Ctrl-E, Ctrl-Q, etc..). All main program shortcuts are expected to work (vim, emacs, etc) And of course not desirable to override screen shortcuts.