* They are harder to lose, but the ones with non-detachable cords need repairing the cord if it rips, which happens frequently. Never happened with BT headsets I own.

* For BT headphones with detachable cord I agree, that BT channel reduces quality slightly, compared to cord on the same device. It's not as bad as vinyl/tape, though. You have a chance to notice it on lossless. but not regular MP3s.

* Wired don't need to pair, but need your awareness of the current relation between the cord and your body and surroundings, otherwise you will be constantly re-attaching them, or ripping cords. They don't glitch or lag, but pick static and RF.

Wireless is really convenient, if you can afford headphones that last a full day, or a pair of them to switch between and don't have many sources of sound to play to the same headset, even at different times. There are own standards that skip BT and use analog RF to skip the lag and drops (with a dongle), but they too have the issue with RF interference. You either can have digital with lag and rare drops, or instantaneous analog with frequent noise without drops.