As for "Why would you want this?" For me, the straightforward answer is "modes are modular". A core concept in vim is that your input can be thought of as a string describing the edit you wish to make, and modes help me keep that manageable in my head: I can first think about the mode I plan to enter, and then separately what I plan to do under the constraints of that mode. It's a little hard to explain, and I'm sure acolytes of other paradigms have their own philosophies, but it fits in really well to my workflow.
It's a subtle thing in the limited world of text editing, but I definitely miss the semantics whenever I leave it, whether to a terminal or a browser or whatever. So for me, it comes down to wanting to bring the cost of task switching closer to what it is in the editor.