Wired are better sounding. Wireless are more convenient. Sound source matters more. If listening to streaming lossy music (eg Spotify) then wireless is good enough since the audio quality isn’t great to begin with. Using lossless streaming service going through a decent DAC then it is a whole other story.

I use Apple Music (nowadays they have at the very least standard lossless sound) together with a Dragonfly DAC and wired headphones. That way I get decent sound while still not adding a lot of bulk.