I got these headphones a few years ago, which were highly rated and apparently support AAC over Bluetooth for Apple devices and I followed the steps in the manual to make sure it's in high quality mode or whatever and the blinking lights on the headphones seem to blink in agreement. (I forget the exact details)
https://www.sony.com/electronics/headband-headphones/wh-h900n#utility_links_pdp_default
I've used them with various iPhones and iPads. The wireless audio quality is nasty. I would compare it to a 64kbps mp3 or something. They're fine when using the wired connection. I am no golden ears, but their BT audio quality is just egregious.
Perhaps something's not working properly and they're not using the right codec, or they're not using a high enough bitrate. I sure
hope something's wrong and modern BT audio quality is a lot better than I think it is.
For the record, I don't typically mind lossily compressed audio! I go for >= 256kbps or lossless whenever possible, but even properly encoded 128kbps mp3s aren't too terrible these days, as opposed to the 128kbps mp3s back in the Napster days 20 years ago.