People can be convinced of all sorts of strange things, for all sorts of reasons. Plus remember that on this board we mostly favour critical thinking, ask for references and evidence, and people are often challenged and disagreed with.
That is depressingly rare. In many other discussion boards any dissent may be vigorously suppressed, and activists have long since made it their business to take over forums whenever they can - see Aimee Challenor and one of his polycule working as Reddit moderators, for example.
So if you're in a bubble and surrounded by 'affirmative' narratives, and most of all the story that your child's problems, which may be several and complex, can all be solved so easily by a simple wave of the trans wand, it may be quite appealing. Especially to any parent wrestling with homophobic feelings, too.
The narrative is slightly more sophisticated, in that it suggests one has to bravely battle 'hate' in order to win the prize of medical treatment. But to me this seems a sort of trauma-bonding to the narrative, if that makes sense.
In fact, it reminds me something I've heard said about heroin, that one swaps a broad range of different problems for ONE problem only - how to get your next fix.
(sorry that was a response to 'ProtectandTerf', I missed teh quote function!)