They now even claim it's better than lossless... Whatever that means... I think this statement is even worse.. And you know perfectly well what lossless means in the audio world. You complain when others have other definitions of DRM.. now you're heading in the same direction.
Not at all. There is for example "perceptually lossless." This is when you tell a lossy encoder to produce the highest quality it knows, and have the bit rate vary. This is as special VBR mode that is available for some lossy codecs. We had this at Microsoft and in vast amount of content it was transparent and about half the size of mathematical lossless.
MQA proposes another form of lossless that says it music follows statistical distribution, they are able to fully preserve its actual informational content including what is in ultrasonic. If they are able to achieve this fully, what is your beef with it? That it doesn't spit out a bunch of bits for a rectangular channel is not used in music?
When we want to say the same bits come out that go in, we clarify with the term "mathematically lossless."
Remember, there is no lossless codec that works for all content. Here is the wiki on that:
https://en.wikipedia.org/wiki/Lossless_compression
"By operation of the pigeonhole principle, no lossless compression algorithm can efficiently compress all possible data. For this reason, many different algorithms exist that are designed either with a specific type of input data in mind or with specific assumptions about what kinds of redundancy the uncompressed data are likely to contain."
The code books in lossless codecs for example are trained on a specific dataset which in this case would be music, not random test signals. Lossless codecs can actually make the output larger than input! When this happens, they cheat and just pass the input to output. MQA can't do that because it explodes the output so it complains with error messages.