My SONY WH-1000XM experienced awful lagging and stuttering sound.
iMac27 2015, Logitech M720 mouse and Apple Magic Keyboard (Pre-TouchID).
It lasted for 3 minutes or so, somehow recovered when I kept on randomly selecting different tracks.
Never had this issue before MacOS 12.3.1. Bluetooth has worked flawlessly for years so a little surprised this happened to me.
in console I see stopTrackingForSession: sensor tracking is not supported on this platform error being recorded, exactly "Twice every 10 seconds."
Not sure if this helps at all but just posting it anyways in case it may help. :)