Widow, I think there was mention on this (or the other thread on the same topic) of the rate of suicide among trans people in general, so I assumed the figures about surgery were made in response to that.
Obviously there is going to be different figures for young gender variant children, teens, those who have surgery and those who don't.
When I answered about what I would do if it were my teen, I'm really thinking about the individual not the stats. If you have your own teen sat in front of you (taking into account gender variant children don't usually become trans adults, but the situation is different for trans teens), and they are having therapy but still strongly contemplating suicide because things are so unbearable, what do you do?
And I think you would have to support them with surgery if they wanted it, because even if that eventually leads to suicide, at least that is maybe suicide later not now. And wouldn't anyone want that? A few more years, ten, twenty, in which maybe they become happier and maybe they don't, rather than death now because therapy and support isn't working off that individual?
And I know this all sounds very sad, but feeling suicidal is sad. Being trans is not a mental illness. Being trans isn't even a medical condition requiring even seeing a doctor for some trans people. But being suicidal is a mental health problem, and sometimes that means people have to make hard decisions that may or may not make their life worse in the future just to get through the next year, month, week, day. And that isn't just trans people with mental health problems; that's anyone with mental health problems.