Of course MQA has many claims, they even said it is lossless when it was later found out to be lossy. This put them in some credibility doubts. (Don’t blame them it’s all about marketing)
MQA emphasised on time domain correction means these filters are leaky allowing aliasing, noise and distortion to reflected back to audio range. Do you want your music tinted with all these or you want to listen to the original Hi-Res masters?
If you like to listen to effects of these abnormalities which some described a bit like ‘analog’, good harmonics sounding etc, then it is a personal preference. Just like some like solid state vs vacuum tube amps. The thing is, this is all about marketing and trying to get you on board. In the end of the day, you can’t take every words they said, do you own research!