I know a lot of people want all the surgeries completely outlawed, but I'm of the opinion that if people pay for it from their own money then they can do it (but doesn't mean that the law has to treat them differently). I don't like tongue splitting, but if people are stupid enough to do it, then so be it, but don't expect to be legally a snake afterwards. If a man wants a neo-vagina, so be it, but don't expect to legally be a woman afterwards or for the NHS to fund the reversal.
The NHS shouldn't be going anywhere near it, and as the NHS is trying to be the jack of all trades I believe that their results are a much lower quality to that done privately.
The problem with the NHS/public services is that it is a conveyor belt of treatment. Children in council run care homes are referred to NHS mental health services that pick up on magic terms such as "don't like being boy/girl" and then send them to NHS gender specialists that end up medicalising them and sending to surgery. It seems like once you get into the system it is very hard to get out.
Obviously private providers just exist to milk people of money, but at least the financial costs would force people to wait. A child would need to save for years to pay for it and would give them time to think.
The NHS is (and will be) facing a massive compensation bill. It will be the new infected blood scandal.