Thanks much for this!
Bluetooth is extremely popular because it is convenient; but it is seldom measured because it is not audiophile. This is ironic because some components like DACs have become so good that the measurements do not matter so much. Differences between Bluetooth hardware and different Codex are potentially huge by comparison.
I think Bluetooth is analogous to Audio Cassettes in the 70's-80's. Cassettes are audibly inferior to LP/Reel to Reel, but they were so convenient that cassette decks were part of most home audio systems. Tape deck manufacturers put a real emphasis on improving noise reduction schemes, tape formulations, head configurations etc. because Hi-fi magazines tested them. It would be nice to see that happen with Bluetooth.
ASR could do a real service with a series testing Bluetooth Codecs, Transmitters and Receivers. These components are mostly cheap and easy to ship. Perhaps performance is almost entirely dependent on the Chipset used, but your discovery of noise issues with the Kali seems to contradict that. Another factor that would benefit from standardized testing is reliable transmission/reception distance. That said, i think it's likely a Bluetooth series would be more popular on YouTube than it is here at audiophile ASR.