Good point. I've generally used debounce for live search, and throttle for window resizing, among other things. In hindsight throttle is perhaps better for live search as well.
For window resizing, i'd actually use debounce. Most times, a user resizes a window with a predetermined size in mind -- they want to show something behind the window, or want to make the window fill an existing space.
In that case, showing live updates in the window during resizing might not be worth it.
In that case, showing live updates in the window during resizing might not be worth it.