MQA is garbage BS. I wouldn't trust it at all. I have more faith in high bit-rate AAC audio. Though the standard is protected, the source algorithm and example encoder/decoder code and specs are available for test and review. Properly done .MP2 (mpeg 2, layer II audio, AT&T model) at 384kbit, discrete stereo encoding appears to render better results than that stupid MQA as well as 320kbit .mp3.
Personally, I have my CD collection encoded in .flac, period. It's been like that since then inception of FLAC well over a decade ago and I used a public domain encoding GUI which also automatically decoded the .flac after encode to do a BINARY compare with the source .wav rips from my CDs to ensure that the encode was dead bit perfect.