Maybe if they asked using ye olde wording ‘transsexual’ and ‘transvestite’ then the answers would differ.
I'm betting they would. And I think the problem here is one of distinction; one which wasn't much being made before this issue was given sunlight (I know it wasn't by me). Another problem is that transsexuals who refer to themselves using this term, and who actually prefer it, are constantly invalidated by aggressive transgender activism which insists others identify themselves in ways it dictates. Same goes for those pesky 'people with vaginas' or those who persist in asking not to be misgendered as 'cis'.
I have an acquaintance who is an old-school post-operative transsexual. She uses the word 'transsexual', along with a female name, knows she isn't a biological name, and happens to be a gentle soul who has no desire whatsoever to stampede over women's sex-based rights. When I too championed trans rights (because it isn't hurting me and why don't we all live and let live?) this was the type of person I naively assumed was being talked about here.
She is the kind of person the ugly movement of TRA would pleasantly refer to as 'truscum'.