It is if you care about ANC and convenience of use. At home wired is obviously king :)
And both wired and wireless have their own convenience problems. But the wireless ones are more frustrating in my experience.
https://www.0db.co.kr/files/attach/images/179/725/105/002/eb...
Bluetooth usually introduces some pretty big delays to sound. Sometimes video players can synchronize themselves, but controls will have a weird lag even for audio-only applications and hopefully you don't want to do anything interactive.
And speaking of interactive, your typical bluetooth device will drop to horrendous quality if you switch into headset mode.