Part of the idea of most tiling window managers is that you use the keyboard to control them, not the mouse. As such, you no longer need to overlap windows to quickly switch to the one you want. You have keybinds to do so (which actually exist in the default Windows and OSX window manager as well.)
I personally hate the basic tile schemes, and full screen in many of my use cases. Yes, when I'm using one app hard, full screen is good.
When I'm using multiple ones, I often want to copy paste info, or just refer to it. Auto pop to foreground is toxic, it forces a change in state when there is no need for that change most of the time.
On IRIX, focus follows mouse, and middle button copy paste were awesome. Still prefer that over other schemes.
Many people get a second screen to accomplish what can very easily be done with one a lot of the time.
Tablets are fine consumption devices. Some create is there, like graphics, but most create has UX requirements that exceed the simple touch sweet spots.
I don't use nor like tiling much, due to overlaps and how I find myself using them.
Some here are saying more iteration could improve on that. Maybe so. I'm sure not oppose to giving new things a go.
EDIT I might be confused here. I'm reading that you are assuming that one has to use a tiling WM to get one of the features you want.
I do prefer overlap with those features, among others, present.