Hey! How dare you call my favourite genre of music and some of my favourite artists "creepy" or "freakish" (with negative connotation)!
At any rate, for heavens sake, I'm not sure how you got the idea that this sort of music is super alternative and only listened to by extremist goth/emo/whatever people. I would almost call this music mainstream, or close to it.
Not sure what you mean by "classy" girl, but I'd say somebody who listens to jazz (in this day and age) would definitely be more alternative than somebody who listens to symphonic mental. Many of my friends listen to this music, or variants of it, and I guess they would fall under your definition of "classy" (university educated, well dressed and spoken, cultured, no tattoos or piercings apart from the ears)?
Anyway, this is all rather absurd, thinking in stereotypes like this won't help you any in the real world. In truth, these days you can tell very little about a person from their external appearance (no matter how diverse or extreme modern people seem to look).
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Into the dark...