In this article, I hear a lot of "I". IMO, the big challenge with Apple Music is all the legacy that a) personal libraries, b) iTunes Match, and c) iTunes purchases all bring to the new streaming paradigm. Those are problems Apple has to solve, and can't just discard. Apple's customers have plowed tons of $$$ to "own" their libraries, and Apple is doing the right thing to bring them along.
That complexity explains the difference between "hearting" a song/playlist/station and "plus'ing" one, or "clouding" one, amongst others.
I actually appreciate Apple's queue approach, which has a long history in iTunes. I love being able to insert or reorder songs without having to "recover" the previous state. That may not be everyone's cup of tea, or mental model, but it isn't bad design.
I do agree with the author that configurability of the tabs and the main buttons of the Now Playing screen would be handy. I know of several changes I'd make if able.
I do think that there are several good criticisms here, but when the first paragraph includes a lot of "I don't care about"s, that is a good sign to me that the author is not thinking about the design challenges holistically.