Correct, several other countries (including ones that are far more progressive than we are on any number of other issues) have tried to pump the breaks a bit with regards to early prescribing of puberty blockers and cross-sex hormones.
That's not to say that the conservative side is exempt from criticism with regards to how some of them have wanted to handle the situation of gender dysphoria and certain matters involving transgendered individuals.
But on the specific facet of the conversation regarding the prescribing of puberty blockers to young people prior to doing extensive psychotherapy first, that's an area where they've been validated/vindicated as evidenced by, as you mentioned, several other progressive countries realizing that they jumped the gun a bit and deciding to pull back.
Now, I suspect that even if the US did follow suit with the European countries... certain staunch conservatives would still take issue with the practice even after extensive psychotherapy has taken place and due diligence was done.
That's where, in the interest of clarity, if conservative folks in the US oppose the practice no matter the circumstance and no matter how much therapy was done prior, they should be honest and up front about that and not try to make it about "they're rushing the process before psychotherapy was done", because if we do follow suit with Sweden, and 2-3 years of intensive counseling doesn't address the issue and then the meds are prescribed, and then conservative still take issue with it, then we're not solving anything by one side advocating for the Sweden approach (if they're just going to reject the Sweden approach in 2 years)
I'd prefer society not waste everyone's time for two years, and just have the real, no-nonsense conversation now, rather than both sides tip-toeing and constantly moving goalposts.