@Shizuku
One thing I would like to suggest is that older trans individuals' lack of growing up as a biological female may mean they do not understand (as women who grew up as girls well before the current fashion for gender ideology), that young teenage girls are highly susceptible to peer pressure and social contagion.
All of us who grew up female know that recurrent and changing social fashions of various forms of "dysphoria" / mental health issues / distress are rife amongst young women - it was anorexia when I was young; eight years later my sister was swept up in a fad for cutting and self harm (much less fashionable now); my younger cousins became obsessed with cosmetic surgery, gym regimes and body modification and makeup in the early 2010s. One of the reasons older women are so resistant to the idea of the "trans child" is that we know from firsthand experience how often young women either yoke themselves into a social fashion or believe something that isn't actually true about themselves.
One of my own research interests is what one might call "historical pathologies" - e.g. mental health "diseases" that appear and become very fashionable for periods of time, and then disappear again as social conditions change (hysteria, neurasthenia, "moral insanity" and so on). Young women were not only extremely susceptible to these diagnostic fashions, but suffered repeated interventions from others which often harmed them, despite masquerading as a "cure". I've been researching these and the history of sexuality for a long time, and I can tell you that the current ways in which the ideology of "gender dysphoria" presents itself, resemble nothing so much as one of those historical pathologies in which a whole range of (often largely women's) mental and social distress suddenly becomes attributed to one specific underlying fashionable cause.
Can't you see that women, with direct experience of these fashions, are justifiably wary of the whole edifice, because we've seen it appear in other ways before? Yes there are always girls with anorexia, and girls who self-harm, but at certain moments it becomes a real social fashion to perform this as a way of acting out mental distress (like pro-ana or cutting).
What happens to your belief if you're wrong? If these are sad and confused young people who have been encouraged to understand a whole host of other mental health issues as bound up with this idea of "gender dysphoria"? And when the malpractice issues start happening more and more, and then the whole thing goes out of fashion, what's going to happen to the idea of "trans" then....?
I just don't understand why older trans people are so gung ho to jump on the idea of "trans kids" as some kind of validation for themselves? Wouldn't it be better for the whole movement not to be associated with loud calls for teenagers and children to be medicalised who are too young to accurately understand what this will involve life-long? Why wouldn't older trans people be urging caution, and the best kind of cautious care for young people with gender dysphoria, so that the whole movement doesn't end up tarred by medical malpractice and a rush to trans kids who may be suffering from a whole host of other kinds of distress instead?