Well, talking about Chilean, this girl is one.
Now answering you question about how they see us, they don't see more labels than their own ignorance or experience.
I interact a lot now in femme and I'm not explaining to everybody what's for me the difference between a trasgender woman, how I identify myself, a transexual, a crossdresser, queer, transvesty etc.
It's like when they ask me where I'm from o answer I'm more from here than there, so there is Chile and here is the states, I wouldn't come back to live there. The same I'm now a transwoman not a man and I can't come back to be a man, what I am for them? Who cares?