It's true that humans are not particularly sensitive to audio quality, but they are very sensitive to audio latency. If all you do is listen to buffered audio sources then latency is not important but the moment you need to use your headphones in an input loop then wired is the superior technology as it offers close to zero variance in latency.
Wired is for when you want to listen to music you really like and it's too late to use the speakers.
You can also go for moderately priced cans and just feel your ears tingling the first time you listen to something through them.