In terms of "people being convinced by others", I think this is a relatively recent phenomenon. I think it's possible to be simultaneously concerned about social contagion and social influences, especially among young people who don't have a fully developed understanding of themselves, hasty treatments without due diligence on behalf of medical providers, commercial incentives in the medical community, etc, etc... while also acknowledging that some people simply do suffer from legitimate, intractable gender dysphoria.
There is no evidence that I can find that reparative therapy is effective. A teenager being lured into something on social media for social clout is simply not the same thing as a person who genuinely, intractably believes that they were born in the wrong body.
> If I was gender dysphoric (unable to accept the truth and be comfortable in my own body)
One thing I find interesting about this framing ("unable to accept the truth", "affirm my delusion") is that it seems to ignore any kind of biological/chemical occurrences in the body and brain that could explain gender dysphoria and instead casts it purely in a judgemental "these trans people are just nuts" light, which seems odd given that this is a topic on which we clearly don't have all the answers.
Just my alternative conclusion is: you can't fix anything by compelling people to play along with someone else's delusion, whether the source is social, psychological, biochemical, sexual, whatever.
Just because we cannot see the physical manifestation of suffering or understand someone's experience when put through the lens of our own experience does not mean that their suffering does not exist or is irrational or delusional. Many chronic pain sufferers understand this.
One thing I can't understand is the assertion that simply respecting another person, usually by doing nothing other than accommodating some alternative pronoun use is such an incredible burden so as to cause apparent extreme mental anguish among the people being asked for this accommodation.
If I have an acquaintance who is transgender, using their preferred pronouns that match their outward appearance and identity is:
1) Not difficult - what is more difficult and socially strange is referring to a person who is trying to present as a woman a "man" or a person who is trying to present as a man a "woman".
2) Not a self-delusion - or any kind of determination at all, really - about their biological sex. I have encountered non-transgender people in my life who are androgynous. You either make a mistake with their pronouns, or ask. There is no way of knowing what their biological makeup is, and I don't experience any kind of internal consternation over it. You take what they say at face value and move on.
3) Is simply offering a modicum of respect.
So much of all of this is tied up in the fact that a lot of people, for whatever reason, just really want to be mean. It seems their default is to be sneering, judgemental, and offer behavior that is more indicative of the worst instincts of high school students rather than well-adjusted adults.
That seems to really wind people up but since the executive order today (I'm not American incidentally), everyone is going to have to get used to it.
I don't sneer, by the way. Never have, never will! I'm more of a smirker. ;)