Definitely the killer feature of wireless headphones I'd say. Although I bet if you used some kind of easy break magnetic connection like Apple used to have on macbooks you could get a lot of the same utility back with wired.

Not really, because I'd still have to have a wire flopping around and when it does get snagged I lose my audio. Its still not as good as just not having a wire at all.

I can pair my headphones to my laptop, start playing something, and then walk all around my house without any interruptions. I can't do that with wired headphones, I'd have to carry something around with me everywhere I go. I can walk around the room without issue. I can quickly get up and go make some food in the kitchen without interruption. I can answer the door and sign for a package. All kinds of things that don't require me to then change to a different device, restart some stream there, etc. Its just freedom to get up and move.