Earlier quoted context omitted.
ist that the whole point of unifying recovers as well? or am I missing something?
Unifying definitely lets you pair multiple devices (keyboard, mice) to the same dongle, but I'm less sure about whether it lets you pair multiple dongles to the same device(s) and then hot switch between them.
Logitech also makes or made keyboards with 1-2-3 hot swap keys that allowed quick switching with a single press.