First of all: of all the Mic2 vs Røde Wireless Pro comparisons the Mic2 sound noticeable worse, dull as well as other issues. But the features man...

Some mics seems to be duller sounding and more "muffled" in quality than other copies.

Anyway DJI now claims that there is a firmware bug in the Mic2 which causes the bad sound quality. Or at least some of them.

Clear difference in frequency response for different copies of the Mic2 transmitters built in microphones. If used with external mics no problems.

Then again when I look at the list of supportet phones it's not so great either, while a lot of iPhones is listed the support for i.e. Samsung is only for devices which are a couple of years old. I.e. it works like a charm with my Samsung S22 Ultra, so no problems here.

So this begs the question if there is an issue with different / non supporting protocols / profiles?

It's not perfectly clear to me if protocol and profile are the same thing, or not?

From the documentattions:

DJI Mic2 transmitter supports bluetooth protocol BR / EDR (basic rate / enhanced data rate).

GoPro Hero12 supports HFP / HSP profile ( Hands Free Profile, Headset Profile).

That said the documentation for the Hero12 clearly shows that the BT audio is targeted at headsets: https://community.gopro.com/s/article/HERO12-Black-Bluetooth-Headset-Support?language=en_US

Documentation for DJI Mic2 and mobile phone compatibility list: https://dl.djicdn.com/downloads/DJI_Mic_2/compatibility%20list/DJI%20Mic%202-%20Mobile%20Phone%20Compatibility%20List_EN.pdf

And; while the DJI Mic2 works with their own products like Pocket 3 and Action 4, it also seem to be supported by the latest Insta360 AcePro action cam. So clearly not a DJI exclusive support either.

So finally my question; is it probable that the GoPro BT audio is implemented in a way which will not be compatible with the latest DJI Mic2 transmitter?