For mice they may have used to be the case, but recently wireless has become more popular (at least in CSGO.) 3/5 of the most popular mice used by pros are wireless (including the #1 spot.)
Logitech X Pro Superlight seems pretty popular and sadly doesn’t work via cable but only Logitechs lightning receiver.
I’ve played with the Superlight for a year or so and and couldn’t notice the difference to the mouse is used before and am using now, both with a cable.
Several pros today use wireless mice. I think your notions of wireless is a bit outdated :)
In CS:GO tournaments basically everyone uses wireless now. Logitech G PRO X Superlight is amazing. Never used a lighter mouse and will never go back to wired.
I was thinking of picking one up and then accidentally built one using a cup of pens...
But I told myself if I can't improve on the pens with some kind of wire mock-up (the idea being to tuck the bottom under my desk mat for security) I'll spring for the real thing. It's a really nice effect.
Long before the FPS shooters started showing up I had the problem with mouse cables pulling on my hand and causing pain in the wrist. The solution was to use cable ties to fix the mouse cable to the keyboard cable so the mouse cable does a little loop up in the air and leaves enough space to move the mouse everywhere. Extra useful when you accidentally knock the mouse down because you are using an ergonomic mouse that is higher than you are used to. Instead of hitting the floor in three pieces, it just hangs in the air :-)
Particularly useful for twitch based FPS shooters such as Counter Strike, but overall ensures never to get the cable in your way.
PS: You don't use wireless for competitive shooters. LAN Cable, cable mouse, etc.
See: https://www.amazon.com/Glorious-PC-Gaming-Race-Bungee/dp/B07...