I think Twisted Sister is definitely a classic 80s rock band. I was in high school in the mid 80s, graduated in 86, and was really into the music of the times back then. I listen to a lot of country music today, mostly older stuff, but I still get a kick out of most of the 80s rock. There is a station here in Seattle that only plays 80s music. I listen to it quite a bit.
I don't think Dee Snyder was trying to look like a woman, either. Anyone who thinks that is what a woman looks like should get an eye exam pronto or consider finally coming out of the closet. I always thought it was a corny/campy imitation of KISS.
Another 80s icon that I miss is MTV. Whatever that crap is that they call MTV today really sucks. Do they even play music videos anymore? I don't even let my kids watch it, had a filter installed to block it out entirely in our home.