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.