I'm conflicted about this matter. I use a Bluetooth earpiece on my phone because it's more convenient: you can move around a room with the phone on a table, no pockets, and you can wear and unwear t-shirts and sweaters. When I can't find the x with the earpieces I plug in in a wired one.

On the other hand a wired headphone always work, had maybe better quality and almost surely a better latency. I use one of them when doing calls from my laptop.