Strongly agree with RedToothBrush's comments above.
I also feel that the programmers spending however many tens/hundreds? of thousands of pounds making this programme, with an attention-grabbing title, are also doing the public a dis-service. This subtly implies that this phenomena is much more prevalent and common than in fact is the case, and that might make other parents even quicker to jump to conclusions about their own young children, and maybe feel that they need to be 'doing things' about changing their children, as all these other parents are.
The other thing that makes my blood BOIL is throwing around statistics that, literally in the same line, they admit that there is no proven evidence for!!
"It is estimated that between 2% and 5% of the population experience some form of this, although statistical analysis is patchy."
If it's so patchy, why are you endorsing it by quoting it?
"In Britain no major government or administrative surveys have included a question where transgender people can choose to identify themselves, but it is thought that there are between 300,000 and 500,000 trans people in the UK." Thought??!? BY WHOM?!? On what evidence?? Or is none necessary for thoughts on subjects like this?
The media has a massive part to play in forming and massaging public perception, on all sorts of subjects, and this kind of fatuous vagueness on the statistical evidence (and omission of things like the suicide rate of pre/post-transitioned adults, as a op mentioned) is IMO outrageous.