My experiences with tiling window managers is that they struggle in judging a modal screen like a confirmation box or detachable/dockable mini-containers like the interface of certain programs like GIMP. Considering those as new tile-able windows tends to be a hinderance instead of increasing productivity.
I use AwesomeWM on Linux since over ten years.
For example, GIMP works without any issues. And the productivity boost is tremendous, for me it's very hard to work on anything else. I barely encounter programs where it does more harm than use.
Especially having multiple desktops with different names allow me to localize windows so much quicker than looking through a dozens of terminals manually.
Right now, I do have: 1 mail, 2 web, 3 gimp, 4 chat, 5 notes, 6 terminal, 7 ssh cluster
They do struggle with that, or rather some developers struggle with not making assumptions about the way a user's window manager is laying out their windows?
I use StumpWM, and for the few applications that this becomes a real problem it is possible to run those in a floating windows group that works just like a minimalistic non-tiling window manager. I think this is a common features of tiling window managers.