It's possible. This idea that there are people who are "gay" is a very recent invention.

Exacly.

Ancient societies didn't classify people based on who they sleept with. This is all a very recent thing. But still, most pederasts didn't see same-sex adult relationships in the best light.

Pederasty describes a certain dynamic, which may or may not be illegal, depending on the circumstances.

I like to be precise with the language I use.

If we're talking about ancient Rome or Greece then you'd have a point, but in the context of modern society pederasty is equated with pedophilia, a crime.

Which ones do you mean?

As Shakespeare rarely specified the exact age of most of his characters, but it wasn't rare for underaged actors to be paired with adult actors.