This argument is disingenuous. I hope people would stop spouting it.

There will ALWAYS be an advantage to wired headphones over wireless: reliability and versatility.

Bluetooth headphones can be VERY finicky about who they'll connect to and with how much hassle. They also cannot be plugged into a separate DAC/Amp setup.

Perhaps if it were standard for headphones to allow the user to bypass the bluetooth DAC and run the drivers on our own signal, but I haven't really seen this on affordable headphones.