Do transwomen trigger the same behavior? I don't think that the gender that's assigned at birth matters.

Why wouldn't it? Or rather the important feature is possession of a Y chromosome, which in almost all cases is the same thing as the "gender assigned at birth" given how the procedure tends to work. However, the phrase "gender assigned at birth" is highly misleading since it seems to imply that the feature is based on the choices of the hospital staff and/or parents rather then the chromosomes of the child.

It's notable that the second highest paid "female" CEO would appear to be a trans-"woman". Who fathered a number of children before "realizing" this. And if I may dispense with the currently fashionable charade of pretending trans-"woman" were really women trapped in men's bodies, appears to me a masculine man with an autogynephilia fetish.