* They don't need charging, but you will hear static regularly when attaching/detaching/touching things. Also, they pick up RF interference (TBF, BT ones also drop packets in RF-noisy environments, but they seem to be more resistant to it)
* 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.
> (TBF, BT ones also drop packets in RF-noisy environments, but they seem to be more resistant to it)
I've experienced the opposite. The microwave will knock out my bluetooth completely, but the wired headphones are solid but in a decade of using both wired and wireless headphones I've never heard anything weird or staticy through the wired ones. My wired headphones were the Shure SE215, and now after a decade of using those they broke, so I have the Kiwi Ears Belle.
Your microwave is leaky, and/or not grounded, but since you don't experience static, I assume you have grounding at your house. Without grounding static and mains hum is quite noticeable. Try touching the body of your pc and listen how silence changes in wired headphones.