That is a misuse of the very interesting National LGBTQ+ survey data they link to.
Reading that data, respondents had to be 16 or over. 6% of respondents were trans (I'm sorry, I'm simply not counting NB respondents in this as the phenomenon is so recent). The older age group were much more likely to have experienced conversion therapy. So things are getting better. There's also a strong link with religion, particularly Islam but also Christianity, and a strong link as you'd therefore expect with some ethnic minorities. I'd imagine there is conversion therapy in Judaism too but numbers in the UK may be too small to show up much. All fits exactly with Louie's story above - a troubled young adult who found a 'family' in extreme religion became vulnerable to organised religious homophobia. We know, unfortunately, that pressures from homophobic groups in the Anglican communion has meant the Archbishop of Canterbury has jumped to reiterating that homosexuality is wrong, so those risks to gay young people remain.
There is a surely deliberate lack of detail on what conversion therapy on trans people of different ages looks like now. A recent very moving article about ECT/aversion therapy in the Guardian written by a trans woman turned out to be about the early 60s. Are there really trans conversion camps out there, separate from homophobic ones? Who runs them? Who goes or gets sent on them?