FWIW, I agree with you that "it seems like you dislike trans folk" isn't a good place to go, for a number of reasons. For one, it's a tactical mistake to pull out that kind of accusation if you want someone to listen to you. For another, it's probably too reductive to be accurate. I'm not going to defend the hill of "SJWs aren't bullies" or even "the person you're calling an SJW here wasn't being a bully".

But I also think if you look past that and strip the junk away, there's a kernel of truth to it which is worth keeping.

Namely, the pushback against singular "they" here is grounded as pushback against some perceived nominally-pro-trans movement. (That's what "1% of the population" refers to, yeah?) A good chunk of the criticism presented is criticism of the kind of people who call for singular "they" and not actually criticism of singular "they". It's not just about the grammar, and probably wasn't in the first place, as evidenced by the fact that we're talking about trans people now somehow.

If you're willing to toss "SJW" and "bully" around, I think it's not out of line for me to scrunch up my nose and throw out a "reactionary" when I see that.