The biggest issue imo is the microphone quality. Audio quality and latency have improved a lot over the years but so many wireless headsets still have garbage mic quality. The Logitech g pro lightspeed costs $250 and sounds worse than a $10 Webcam mic.
I only went wireless after the razer blackshark 2023 came out. The microphone is by far the best mic I've heard in a wireless headset.
I've always used desktop microphones, but that's an issue I didn't even consider. Tbh it seems like most "gamer" headsets slap on the shittiest microphones because they affect you the least and it ticks another box on the product page.