aptX HD and LDAC are good, with bitrates of 576 kbps/990 kbps. The bigger problem with sound quality is that for any given price tier, adding Bluetooth comes with a significant compromise in SQ versus offerings that are optimized for only SQ.
Bluetooth also caps out at roughly the midrange for headphones. High-end bluetooth Bluetooth headphones are technically possible, but nobody makes anything equivalent to say, the Focal Clear, but with Bluetooth.
At home I use the Sennheiser RS 185, Sennheiser's top-end RF (non-Bluetooth) wireless headphones. I love them, but realistically, the sound quality is on par with $200 wired headphones.
Bluetooth also caps out at roughly the midrange for headphones. High-end bluetooth Bluetooth headphones are technically possible, but nobody makes anything equivalent to say, the Focal Clear, but with Bluetooth.
At home I use the Sennheiser RS 185, Sennheiser's top-end RF (non-Bluetooth) wireless headphones. I love them, but realistically, the sound quality is on par with $200 wired headphones.