I don't have a habit of believing the claims of self-admitted liars, especially when their claims are highly suspect, something I haven't heard of. If you need someone to believe you, you will have to get it from someone else.
After reading this exchange, I'm a bit confused as to what the actual disagreement is. There was, and still is, quite a few people badmouthing gays and saying nasty things about them. I remember it being even worse when I was younger, and I'm not even gay.
As for the specific claim of whether there were newspaper articles from the 1990s which labeled gays as "perverts" or "abominations," I will say that I don't recall any specific cases of such, at least not from mainstream newspapers. However, when I was renting a house from a Southern Baptist preacher around the early 1990s, I somehow wound up on his mailing list and received his regular newsletter. This was back when gays in the military was a significant topic for debate, and he did use some rather harsh language - although I'll admit I didn't save the newsletters, so I can't really prove it to you.
As for whether it constitutes "hate speech" - that's a judgment call, which is what makes regulating hate speech all the more problematic.