As long the mouse/keyboard runs on 2.4Ghz and not bluetooth you are safe tbh. I got a bluetooth cordless mouse from Logitech some years ago, was supposed to go from my Cordless Desktop MX mouse (first wireless, ran on Hz :P) and didn't notice the new one was bluetooth based, it went to sleep mode so definitely a work mouse and not gamer mouse.
Now on the other hand the G700 mouse is for gaming, runs on GHz bandwidth and has good responses. Also has a cable you can plug to charge and can play with the game plugged on too!
In short; GHz wireless works just fine. Bluetooth not so much.