Y'know... nobody ever cares that trans kids suffer from lack of treatment as hard as cis kids from being given it(a way less common situation than the reverse), nobody cares that kids are abused left and right in much more common ways, nobody cares that most people transitioning are adults. What people care about is fuel to put validity of trans people and their agency to question.

It's not so much that discordant views get silenced, it's that everyone is aware that in the current climate, almost anything can - and WILL - be used to fuel discrimination. Such a study being approved alone would be taken as proof that "even the left finally admits transgenderism is hurting children" by a LOT of people. Even the way you titled the hypothetical study is de facto begging the question.

I mean yeah, these things should be studied. But it's not as though we have no science. E.g. detransition- we know it's uncommon, and mostly due to external circumstances, not regret. In light of this, is proposing to study specifically whether kids are getting pressured into transition(instead of "factors leading to transition"), in disregard of the fact that we already know most benefit from and don't regret it, "bad faith"? Yeah. Kinda.

The science very much so supports the rationale and safety of transition, but everyone and their dog has that one anecdote, that one outlier news story that convincingly prove how dangerous giving people agency over their gender is, that one "but what about the kids!" concern.

That's a great example. Another one is the question, whether gender dysphoria results from mental illness, or the other way around. The orthodoxy will say that the discrimination that trans people face is the reason for the prevalence of mental illness among them. We won't find out anytime soon, since it's a belief that is held sacred among the very people studying the topic, and at the same time there's a push to treat children with hormones when they get funny ideas (see Tavistock Clinic scandal). Thinking back when I grew up and my sister kept crying saying she wanted to be a boy – mainly because she wanted to fit in with her three brothers – it's a terrifying thought what could have happened had she been born a decade later.

Social studies aren't out to find truth. They're out to confirm their beliefs, basically working to justify their own jobs.