Unfortunately, my game is not a rhythm game. I basically can't tell which of my shots hit the target. If I shoot 3 times in 300ms, I don't hear the first shot until I click the second time, so if I miss the first shot, it sounds like I missed the second shot, it's very jarring

It doesn't compare since 2.4gh, is half at 15-20ms of latency. Though since I primarily play rhythm games, I like my headphones wired anyways.