Gotta say, I don’t remember calling these bands “hair bands” in the 80s.
Maybe VH isn’t on the list because it’s not considered one?
What about Metallica?
To me hair metal bands were more like “pop” metal, they would do the power ballads, and mostly do songs about girls and partying.
We called em “chick metal” cause the girls liked them. But also hair metal, spandex metal, bubblegum metal.
Metallica is one of the big 4 of thrash. Though honestly for the first four albums they were prog-metal but that didn’t coalesce into a subgenre until the early 2000s.