I don’t want to necessarily speak for @Angela but to qualify some of her statements, we’ve been directly (or indirectly) involved and around a lot of contemporary music (Darmstadt et al), so the “stereotype”, as such, is not an uninformed caricature, but rather based on first/second-hand experience of the overarching “classical” music tradition.
For me, a big part of that is creative agency and hierarchy. This starts getting much more philosophical, but for me it’s important to engage in a music and art practice that has diminished hierarchy and distributed agency. And, certainly, there is no shortage of contemporary (classical) music that challenges those notions, for my tastes, it is still “the work of a composer” as being “interpreted by performers” (to use a broad brush stroke here, for simplicity).
And I guess on a more personal note, I’ve been involved and performed in high-functioning new music contexts, and mid-functioning “band” contexts (mathy/noise-rock), and for me, the detail and nuance in the latter was generally an order of magnitude above the former. (e.g. rehearsing the same set list, every day, for months, vs “three rehearsals and a premiere”). Your mileage may vary.
Which is what circles back to the agency/hierarchy thing. I would argue that that structure itself, carries some meaning, and implicit context.