For a computer, there is no reason not to use wired headphones. Mine have a 3m cable, mostly wound up, but don't usually sit on the other side of the room as you would with a telly. Wifi can be a bit iffy by comparison. Bluetooth can be very iffy and can drop off at much shorter ranges. I also read somewhere, maybe on here, that LED lighting can affect wifi if less than 3m from the Tx.
Wired are cheaper, offer good sound quality for the money, and give 100% performance 100% of the time. But you cannot do your disco aerobics or Zumba DVDs as well as you could with wireless.