Living inside the terminal, multiplexing is useful even when not using Vim and I think Tmux is a better multiplexer than Vim. I would need to use Tmux anyway for it's sessions.
I already use Tmux inside a tiling window manager and generally try to avoid manually managing panes inside Vim, mostly only tabs. There is a finite amount of hierarchical panes and tabs you can work with intuitively, before you wonder why they won't accept each others keyboard shortcuts, especially when you use the same color scheme in Vim, Tmux and Awesome.
> If I tmux then vim, I have to find some way to get the text out of tmux, and then back into vim.
That's actually a valid concern. I use piping for that, but it's not ideal at all. Maybe I will try it out.