I think it's been demonstrated a lot that there is no benefit to MQA over High res pcm, even a degradation. It is natural, it's a lossy CODEC, there is no debate there, that's to be expected, but this comparison is useless to me.
In Canada we have no Qobuz, at the moment MQA is the only high res format that can be streamed trough online services, it being Tidal. Comparing it to High Res is not useful since it isn't available, what would be useful is to compare it to the 16/44 format because that's all there is available if you rely on subscription based services. I have not find blind test results on this. On Tidal, MQAs sound a bit different than the regular versions, the fact that they sound a bit better to me may be a Bias, it's possible, but not the fact that they sound different.
Personally I tend to forget about the politics, I do play MQA and enjoy them, understanding that the format itself as flaws but there is some really good sounding MQA, there is an audible difference, might be the mastering that is different and not a benefit of the format but this doesn't matter. I don't get into the whole conspiration, record labels allows these file to be out there, do you really feel that they wouldn't pull them out if they felt that there work is being corrupted and degraded and that MQA make their song worst compared to Redbook CD format? If we forget for a minute that it's lossy, the last letter in MQA stands for authenticated. Labels agree with these masters, I do not care much about how it's been manipulated, that's the end result that matter, and most sound very good.