Maybe not super, but better than the Audyssey competition. I have been running an MXR310 with updated software quite happily as HT in two houses now in 5.1 Could also be that Anthem amplifier sections are better than most in the price range. I have no interest in Atmos and really would be happy with 3.1 as I just don't care much for special effects. Yes, I have heard a super high end 9. something with 3D and I would not pay 1/10 the price for it. It is not my music system.
One problem is many rely on the DSP to fix speaker problems where it really is better just on lower frequency room issues. EQ alone won't fix room imaging or crappy speakers. The better you start, the better the result.
Another problem is when many people first experience getting the humps beat down, it seems a bit flat. No more 4K boost and no more bass boost. Those issues may be easier to see the difference playing music, not movies.
Perfect? No but I am not ware of anything better I could afford. Mini-DSP is the only alternative I would pursue if my Anthem died. It may also be difficult to separate what is DSP and what is the DAC and amp. Well, might go to 3.1 and the Schiit SYN.
The mic was designed when ARC only handled low frequencies. As the software improved, the mic did not change. Without decrypting the calibration file, we'll never know. I imagine it is the same Panasonic capsule ( or clone) as in most cheap condenser mics