There is so much money to be made for big pharma and the surgery industry from this, in the way that there wasn't from previous teenage body image issues, that I don't think it'll be any time soon - the estimates are billions of dollars to be made here, with all that political lobbying muscle.
Will lawsuits counteract that? In the USA I guess they'd say it was your personal choice, as it is with huge breast enlargements or whatever, and by downplaying/denying the mental health aspect they may well be making the safeguarding failure argument for lawsuits difficult too. The UK position with the NHS is different - unlike the WHO, we still classify Gender Dysphoria as a mental health issue - and I think it'll stop more here.
Britain's young people do seen to act like we're the 51st State, taking their political cues from America. If Trump supports it, they're against it, whatever it may be. Maybe with Biden that will lessen, things will become less polarised and binary, and grey areas of discussion may be allowed. My Twitter feed doesn't make me hopeful though - lots of middle aged people in the arts interpreting the university free speech issue as about Katie Hopkins, rather than bothering (or wilfully ignoring) what it's really about.
I know it's bad, but the re-emergence of a sort of rave scene in the form of those covid-rulebreaking secret raves does give me a bit of hope: today's generation don't have much of a music scene with all its associated tribes, but this could be green shoots. And teenagers might want to spend less time indoors, disappearing down wormholes online after all this.