I have used a wireless mouse (I have one right now cause it's what work bought me). It is no better than a wired mouse.
https://www.logitech.com/en-us/products/mice/m705-wireless-m...
This M550 mouse is rated for two years using the Bolt wireless adapter.
https://www.logitech.com/en-us/products/mice/m550-signature-...
The K400 keyboard+trackpad I have routinely lasts at least couple of years despite only rated for 18 months, but it didn't get as much usage as a regular kb+m as it was mostly used as a couch keyboard or as a quick debugging combo for working on machines on a workbench.
https://www.logitech.com/en-us/products/keyboards/k400-plus-...
It is still used weekly or so!
I think I may have also replaced mouse or keyboard or both a while back, with identical models, so call that two battery changes in five years, if you want to be conservative. Maybe it helps that they're disposable instead of rechargeable.
If you travel a lot you might have to replace the USB dongle once a year, in my experience($5).
Granted that I'm not the most avid gamer, the mouse I use on my gaming PC setup is a Logitech G604 Lightspeed which gets the better part of a year on a single Eneloop Pro AA battery, which I can swap out for a charged battery in seconds when it finally runs out of juice.
That's not remotely long enough for it not to be a pain to manage. Being battery-powered is my primary objection to wireless mice and keyboards.
That said, I do have a use case where the presence of cords are a larger problem than the hassle of being battery-powered and use a wireless mouse and keyboard there. But for everything else, nothing beats a cord.
My Logitech MX Anywhere 2 mouse would last me a few months on a single charge before swapping to this trackball. A recharge took like an hour or so, normally I'd get the low battery notification like in the morning, plug it in when I went to go to lunch, and it would be fully charged by the time I got back and be good for a few months. Or I'd get it near the end of the day, plug it in overnight, and it would be good for a few months. Really not a hassle in the slightest.
Cords on my mouse and keyboard (aside from the one use case I mentioned) give me exactly no trouble anyway, so wireless stuff solves no problem I generally have.
That was until I stepped away from my computer (on my desk at home) to have dinner and came back an hour later to it being dead (mouse buttons worked, just didn’t pick up movement).
I contacted support and they couldn’t offer any kind of support, I asked if they could do a firmware reset and they said not possible.
This was about 9 years ago now and last piece of Razer hardware I ever bought.
It can still be used while charging. So when charging it's not any different than a wired mouse.
That is surprising. I could have sworn we were way above that threshold now. I remember using some wireless Logitech mice that I never powered off manually and they lasted over 6-7 months of all day usage on one or two AA-batteries.
If you don't do any gaming and are fine with 125/s, you'll get a lot longer life.
My last mouse that used one AAA lasts ~3 months on a battery.
With 2.4Ghz instead of blutooth, the reliability and latency problems are gone. Wireless mice, at the high end, have no more latency than a wired mouse. No issues with reliability in my years of owning them.
The battery also lasts a week or two, with some clever software tuning so it runs at a lower polling rate when not playing games. It charges in an hour or two.
Once you've experienced a proper wireless mouse, going back is impossible. They're so freeing. You can move in any direction and amount with NO resistance. Never fight the cable again. It's the way mice were meant to be.
Wireless keyboards are a bit more dubious. In theory they can have way better battery life due to the size, but in practice most still use crappy bluetooth so they have shit polling rates. I wish I could have it though, because it's more clutter on my desk and constantly gets in the way. I move my board around a lot to put down notepads, eat, etc.
EDIT: To be clear, my battery life is a result of using an ultralight mouse with a small internal battery, for game reasons. If you want one with AAA/AA, you'll likely get months out of it no problem.