Not necessarily. Their idea of what a woman looks/acts/presents as may or may not hit a stereotype. Many, many women and men very solidly adhere to what we would call stereotypical sex roles. Why wouldn't that same spectrum be available to a trans person? Why does it have to be regressive stereotyping for them, but not for my classically feminine wife?
But see, that's what I called rolling back almost a century of progress. That's almost how long that we've known that to be just a learned role -- or I again point you at the anthropology term of
enculturation lest you want to go down the "but role means pretending" route again -- as opposed to something intrinsic. Women didn't become nurses because it's something inherently girly, but because they've been educated by and absorbed from their parents, siblings, peers, etc, that's what society expected of them and that's how you act if you're a proper woman.
In fact, even in the west, what's woman role and what's man role changed several times in the last century alone to make the case that it's whatever lower paid role the men didn't want.
Once "calculator" meant a low paid woman doing maths by hand. Those bomb sights and artillery tables for the battleships? That was whole hangars worth of women doing that by hand. Then some berks decided that no, women aren't good at maths.
Earlier, the idea was that a woman reading novels makes her immoral. You know, hormones running amuk. Then some berks decided that women should stick to being writers.
Earlier, the idea was that women can't teach, because St Paul said so. Then some berks decided that women should stick to being teachers.
Etc.
Fer fork's sake, if you go even further back, some 500 years ago even being a
midwife, as in a woman instead of a man delivering babies, would get you suspected of being a witch.
And that's not even going into other regional variations. (E.g., absolutely not making it up, I can think of one civilization where some guys thought that women can't be feminine enough and are generally obsolete, since they can just screw each other
)
That's what knowing some history and anthropology gets you.
So what does it even MEAN to actually live as a woman? You only need to go a century back to get the idea that someone who is a perfectly normal man or woman today, would be a transsexual back then. Even if they never thought of themselves as that.
I mean, literally, if I had been born half a century earlier than I was, then grandma dressing me in pink dresses would have been a perfectly male way to raise me. It would have been more worrying if she dressed me in blue instead.
Hell, we even still have people alive remembering those good old times when men were men and women were women... meaning something else than today. Did they turn trans over time?
And literally 200,000 years of experience that screwing another dude doesn't result in a pregnancy. I mean, it's not even just since we discovered writing, but even those palaeolithical pregnant venus figurines with a big belly an big breasts, never had a dick 
