Well as to the transsexuals being LGB, yes, at least the homosexual ones (HSTS). The autogynephiles have always been around and I've seen a smattering of them throughout recent history (and going back farther as well,) more or less rubbing shoulders with HSTS. Not speaking of the last decade or so. But the HSTS' approach is still to trans the gay away. Can't really blame them for it when it's childhood onset GD that persists, that's not under their volitional control. It's a question of whether HSTS should be friends and allies of LGB or in the same initialism as one happy family. I'm inclined to the former. Recall that homosexuality isn't in the DSM or ICD, but GD is; it will likely stay that way for the foreseeable future, and this isn't the result of the powers-that-be being a bunch of ignorant yahoos about it.

Or put it another way, if childhood-onset GD was the only kind of trans that existed, would you want to retain "T" in the initialism? It's the only one I think it's reasonable to have a conversation about, the rest of it is a "no" from me.