Typically the wireless mice connect over noon-bluetooth wireless protocols and offer bluetooth as fallback, if at all.

Click-to-screen latency is a combination of reporting rate, polling rate and latency within the software stack. Default USB HID polling rate is 125Hz so if you don't do anything extra on top this is what you get anyway. Even higher grade "office" mice offer higher reporting rates than that, "gaming" mice can easily be 1 kHz.

I always thought this is a rule of thumb, but then I learned that wireless gamepads for popular consoles (back then it was PS3/PS4 era) don't really follow that pattern. I came across multiple tests where older wireless PS controllers and xbox controllers were consistently more responsive in practice.

For modern ones there are some cool posts like this one [1], where most of the time there "were no statistically significant difference", or even wireless was more responsive.

Gamepads always impressed me - they can deliver insanely good response times while streaming high quality audio with no lag. I never found other BT accessories for phones/computers that were even close to that smooth experience.

[1] https://www.reddit.com/r/PS5/comments/m020e3/dualsense_wired...

For pro gaming perhaps the difference would make the slightest difference. For casuals, let alone office workers, the difference is 0 (writing this with a mx master 4 next to me).

Saying this as someone who has tried dozens of mice in my life. Last corded-one, bought for my son yesterday (razer cobra minecraft edition). I don't think I'd be able to tell the difference between wired and wireless in a blind test.

or you can just use wifi dongle one

there is no reason not to, even pro player in esports is using wireless mouse

the technology is there even for top 1%