I don't think this is happening organically. Trans people are such a small percentage of the population but we've been getting a ton of media coverage. There's a concerted effort on the right to demonize us and that filters down into the culture.
I can't speak to men but women are so much more comfortable around me since I came out. Most of my partners and friends have been cis women. One of the best parts of transitioning is random women will come up and talk to me when I'm running errands. This started happening early in my transition when I was very much visibly trans. People can be weird around me if they haven't met a trans person before but the people who are hostile tend to be terminally online.
I'm not trying to downplay the inordinate amount of media coverage transfolk are getting.
However, effective propaganda needs an audience willing to listen and accept the things they're being told. I don't think that propaganda turns good people hateful. Instead, I believe it gives people predisposed to certain hateful beliefs a socially acceptable excuse they can repeat for feeling the way they do.
I can't speak to men but women are so much more comfortable around me since I came out. Most of my partners and friends have been cis women. One of the best parts of transitioning is random women will come up and talk to me when I'm running errands. This started happening early in my transition when I was very much visibly trans. People can be weird around me if they haven't met a trans person before but the people who are hostile tend to be terminally online.