In all the years I've used wireless dongled mice, I've never had an issue. And all my stuff is bottom of the barrel unbranded from eBay or Amazon.
Bluetooth mice and keyboards always have trouble pairing, or there's input lag, or sometimes I can't use them to wake the computer. And if you ever want to hold a startup key...
Nintendo Wii Remote used almost completely bare standard HID over Bluetooth Classic and it just worked flawlessly. It needed Wiimote aware apps and special procedures for use with non-Wii devices but it had none such problems(I've had those too) in gaming. It could wake up consoles too.
The problem is in 5W1Hs between combinations of (Windows, PC, Bluetooth), not the protocol. How should pairing keys be retained, etc.
Yeah the cross-platform situation makes things hard, but in a way it's the protocol's fault if it's hard to agree on things.
Also, I really remember Wiimotes failing to pair a lot of the time, but it was so long ago that I could be wrong. All I know for sure is last time I was at someone's house and they wanted to play Switch, it took like 10 minutes to get the controllers set up, but most of that was bad UI.
Bluetooth mice and keyboards always have trouble pairing, or there's input lag, or sometimes I can't use them to wake the computer. And if you ever want to hold a startup key...