If you are into music production, then you really care about audio latency. And no, the consumer wireless headphones you can buy have terrible latency.
I wouldn't say that wired headphones are stuck in the past. VHS to DVD was a huge jump: you didn't need to rewind anymore, quality didn't suck so much, you could have multiple languages. Going from wired to wireless isn't so much an improvement in technology. There are still lots of advantages of wired technology: it is cheaper, you don't need to recharge, latency is better, no findling with Bluetooth problems.