Wireless sucks. Connections drop, interference hampers it, it's far more costly, there's a significant delay, you're required to charge the device, it uses more battery to operate the radio.
Anecdotal for sure, but I've been using Bluetooth headphones with my phone for couple of years now. Wouldn't go back. The connection almost never drop and there's no interference. There's no delay because the phone syncs all audio with the bluetooth headphones. I don't see noticable drop in iPhone's battery either. The only annoying thing I've noticed is that sometimes my headphones have run out of battery, but it's not a big deal for me at least.
