@RedToothBrush et al.
Pretty much all of your statements here are fair and reasonable.
The reason I say I sympathise is because you are all faced with the same stark choice that I was: accept it and deal with it, or don't. Now that Trans is out in the open and not society's dirty little secret anymore, you're stuck with it just as much as I am.(I have very mixed feelings about this.)
The problem with GC (should be "TC" IMO, but whatever) is that whatever you say, whatever logical, rational argument you make, to explain what trans ppl are (dysmorphia, stereotypes, misogyny, creepy abuser, bogeyman, fetish, HSTS, etc.), I'll just shrug and say 'no it's not like that' so you ask why, and I, infuriatingly, shrug again. This continues until one of us runs out of patience and then it usually gets shitty. So you stop asking, agree amongst yourselves whatever you want, and your logical, rational minds are satisfied, but closed. You are in denial, and there can be no constructive dialogue while this is the case. Please don't take this the wrong way, but I don't even bother calling out the half-baked opinions or biased statistics of dubious origins that i see on this site, or the tower of cards you build from them, because no-one here would accept someone like me challenging them. But I understand why you cling to them, just like I understand why my 'side' clings to theirs.
Because there are no 'proper' answers, anyone can take any position for any reason, and trans people are often reduced to mere fodder as much by pro-trans allies as by anti-trans enemies, of which there are many. There are simply not enough trans ppl to be heard by ourselves, and unless we are amplified by others (with who knows what agenda) we mostly get drowned out by almost any other group speaking for or against us. (Interestingly Detransitioners are in a similar boat, and there's even fewer of them). Globally, we are quite possibly outnumbered by JKR's Twitter followers, for God's sake. When we do get in the papers, it's usually for all the wrong reasons.
Most Trans adults, if they are lucky, can just about advocate for themselves. Many don't even want to be visible, let alone be 'activists'. Most of us, believe it or not, don't shitpost awful threatening Tweets, and have little control over those that do. But we are the only group that can cleanly empathise with what an actual trans child feels, if not what a confused or impressionable (or deceitful) c*s child feels. We feel their impotent distress when their care is withdrawn or threatened. We, just as much as you, are "thinking of the children", albeit different children.
None of this solves the fundamental problem of "How do we know this child is really trans?" but this question is being dragged away from the medical profession, who have been largely successful in answering it when they have the time and resources, and into the dreaded Court of Public Opinion, for fair reasons or foul, which is creating more problems than it solves. We are in a situation where we see each other as a threat to children, and we are both right. I am open to suggestions.
Thank you for coming to my TED talk.