Bluetooth audio quality is subpar to a wired port in my experience. A good example is the Q35, when paired via bluetooth the audio quality is worse than when plugged directly into the headphone port.
IIRC there are multiple audio codecs in the standard (and of course different versions of standard), some of them really old. So with certain device combinations you may get better result than with others.
I once looked into these and got the impression that main goal is to make it possible to produce standard compliant devices as cheaply as possible.
