Hi! I completely missed your reply, sorry for the delay!
How is this kinky subreddit proof of anything? 
Reddit can be a very toxic place, with terrible policies, and I think we can all agree on that.
I wouldn't use it as a scientific proof of how trans women are not women or how they don't experience misogyny. Because they do.
Seen as a woman in society? You face misogyny. Seen as a man in society? You're met with privilege*. And nobody asks you to take your pants off to decide whether to treat you as a man or as a woman.
That's because gender is a social role, and why psychology and sociology teach us that.
The struggle of trans women does not erase the struggle of cis women.

*Women and men can be more or less privileged too, depending on many things. It's intersectional (see the work of Kimberle' Crenshaw): a black woman will have a different experience than a white woman. If you're disabled, you'll face added stigma and discrimination. And if you're a trans woman, you'll have the added layer of transphobic struggle. But all these different women share the same common ground: being women and experiencing the social hostilities that are still attached to that.
Trans people (and cis people who get mistakenly assumed to be trans) will also experience transphobia, but the enemy is always the same: a society that denies changes in the traditional gender structure as a way to perpetuate inequality and keep privileged people privileged.