That's exactly the reason why trans bigotry as a "feminist" movement has had so much effort put into stoking it. There's a ton of dark money from Evangelicals being funnelled into astroterfing to divide progressives by forcing wide wedge issues. They don't care about trans people, they care about turning non-conservatives against each other so that they can scoop up the disaffected to their cause.
Ten short years ago the average person in the street didn't care either way about trans people. Sure, they didn't get much recognition or support from government bodies, but neither did they have this army of self-proclaimed feminists trying to persuade them to kill themselves.
Yes, and even more to the point, it's about how a group of bad actors have managed to co-opt feminism from being a progressive leftist cause to being a conservative hate group.