I'm fairly sure what a lot of the answers on this thread are going to be and I think that someone will probably disagree with mine. But I think no. I haven't read all the replies so far which I'll do next, but I got to the second and had to reply:
"Well men don't have to worry about any of the possible consequences and many don't really care much about the outcomes for women either. "
This is such a false world view. A man may not be directly threatened by a transwoman typically (though you might be shocked how physically aggressive a transwoman can be - of the ones I have known personally, one did time for GBH after beating up the boyfriend of a girl he fancied, another has certainly assaulted other men - and that's just out of the few I've had in my social circle over the years). But more to the point, do you think men care nothing for their kids or their partners? To suggest that men don't have to worry because it's not them who are (typically) most at risk is to say men have no empathy.
The comment is... you know what I was about to write the opposite of whatever misogynistic is when I realised I didn't actually know. That's how rarely the opposite is called out. Misandrist? I feel that's more just general people. In any case, it's an incredibly disparaging comment on men.
Anecdotal but honestly I have had WAY more arguments with women who support the trans movement than with men who do. Not none, certainly not that. I have spent a fair bit of time in America and the American Left and Democrat supporters were really big on the whole TWAW incl. the men. But on the whole, and again anecdotal, the whole "be kind" movement and TWAW is more women than men.
And regards trans in kids, it was Suzie Green who had her son castrated, It was Jazz Jenning's mom who didn't want a gay son and led him down the path of fame and misfortune as a "trans" kid. Desmond Is Amazing had a mom who pushed him down this path, too. There's a very real problem of mothers who push their sons to be trans. I don't know if it's some pathological need for their child to be special or some deep-seated resentment at the idea of their child being male due to whatever issues they have. But it's an observable phenomenon. And I know of more than one tragic case of a father desperately trying to get custody of a young child (male or female) who is with the mother and going down a trans pathway way before they are even close to puberty.
It's not only unhelpful to make this a man v. women thing, I genuinely think it's very false.
Plus, as I alluded to earlier, without meaning to take away at all from the fact that women ARE more in danger than men, not all men are big, rough dudes. And transwomen are typically very aggressive in general. At least in my experience. I see a couple around town and they're both around six foot and one in particular has a jaw like Fred Flintsone.
But lets set aside my last point, it detracts from my more important one - men are people too and care too. Empathy is a human characteristic.
Okay, going to read the other replies now and see how my expectations have matched up.