Go watch any live broadcast of a band past 20 years. You'll notice they use wired, not wireless. Why would they do that? Because the latency is lower, the sound quality is higher, and the bandwidth is higher.

Don't use wireless unless you absolutely need to. And you probably do not.

That being said, I like wireless for a simple reason. No wire near the head is very practical with regards to movement, and I used to destroy 3.5 mm headset wires multiple times a year when I was at school. But those days are long gone.

How do they solve that in live performances (also in talkshows)? They use mics there, and they use some tape or way to attach the mic to clothes.