Besides an emotional and mental transition, there is also a social transition. A womans world is very different than a mans world. When one is forced, or has no other choice, but to try to survive in a mans world for who knows how long (for some people it's many years) that is what you know and learn. And then going into the female world it is different. Socializing is an important factor in learning that world, cause, as much as you know you're female and as much as you might look female, there is still socialization that women have grown up with that we haven't. There's a whole new set of expectations. And as a woman, you are treated differently than you would be as a man. Same for FtM, it's a different world.
Now, how much you experience would depend on what you do. If you're a girl who sits at home all day playing WoW (World of Warcraft), then you're not going to come across the same social situations than say a girl in her 20s who's going to clubs. Age also makes a difference, since different age groups have different expectations; you also can't act like a 16 year old and be 40 at the same time.
I have countless examples from my life. And really, this is my experience. Not everyone would agree with me. I've had one TS girl that I almost felt like strangling because she didn't see a difference between the worlds, and thought that fighting for womans rights was a waste of time (I fight for womans' rights, so of course it made me mad! Of course, to be fair, her life was different as she pretty much didn't socialize except on WoW -- so of course she wasn't going to understand what it's like to be raped and have men objectify you, and why I would be standing up against violence against women... she hasn't experience the objectifying that women receive). And yes, there are different kinds of girls, not every girl is girly-girly and not every girl is a tomboy. But they are all girls and they have their own world/socialization. Kind of like girly sub-cultures, and how you socialize tells a lot about who you are.
Anyway, yeah, that's my little bit of opinion.