I use XMonad. On occasion, I use overlapping windows. Tiling window managers make tiling the default. They make it easy to work with tiled layouts. They don't necessarily forbid working with overlapping windows, though since that's not a focus, they sometimes don't support it as well as non-tiling window managers.
Similarly, I seem to recall old versions of Windows allowing you to tile all open windows. (I may be wrong about this; my memory is poor.) You'd have to redo this every time you opened a new window, and it didn't offer advanced layouts, but you could at least tile several windows together. This wasn't terribly useful at the time because you only had a 1024x768 display and no virtual desktops.
Today, Windows gives you easy ways to specify that a window should take up the left or right half of the screen. This is a simplified version of tiling that works reasonably well when you don't have virtual desktops and is easy for people to learn.
There's a whole spectrum available. Everyone gets what they want.