http://www.techradar.com/news/surprise-the-nintendo-switch-now-supports-some-wireless-usb-headsets

Much of the appeal of the Nintendo Switch is that it's a game console you can easily liberate from its wires and take with you wherever you may roam. 

That unwired philosophy originally didn't extend to the headphones, though, so you still had to jack them in with a wired connection as though this were 1989 and you were playing Tetris on a Game Boy.