In fact, a main reason I use i3 is because it is literally the least ideological tiling window manager when it comes to mouse use. The productivity gains I get out of tiling don't come from using the keyboard, they come from not having to deal with the (imo, especially in the post-1024x768 era) very messy overlapping window model. Things are where I expect. I can move them from one screen to another and sane things happen. Plugging in and unplugging a display doesn't make hash of my organization. Things are never buried under incomprehensible layers. And so on.