@sns I like the distinction you make between critical thinking and analytical thinking.
The idea that a critique can be "simple appreciation" is a tricky concept. To my understanding, "critique" involves at least two layers of experience, both the very simple *having* of the experience (resonating with the music) and the more reflective secondary *reflection* about the experience.
So, critique is multi-layered and this is not what some want in their listening. They want to just "enjoy the music" and that means *not* reflecting on it ("appreciating it" as you put it). This is why it’s conflated with "analytical thinking" which is thinking put to a purpose -- judgment about better and worse.
That said, one can understand the conflation, no? After all, appreciation is also (at least implicitly), depending on a comparative. To say, "Ah, now that’s really nice" is to imply that it’s "nicer than usual" which is comparative.
Personally, I cannot just immerse in music in a one-level way -- mere resonating. I move between that kind of immersion and the other, appreciation-listening. Still, going that additional step, to analytical thinking, can be hard to keep at bay, for me.