That article is confused and confusing. Unfortunately by lumping together adults and children, their argument got a little wonky. Also, I think this is where we might start seeing the problem that the doctrine of gender identity is going to cause those who suffer gender dysphoria.
The doctrine is at the root of concerted efforts to demedicalise/depathologise being trans. If being trans is not a medical condition, an underfunded and understaffed healthcare system cannot justify putting extra funding into "trans healthcare".
In the US, they were very careful to ensure gender dysphoria was reclassified from a mental health issue to a sexual health issue in order to ensure that insurance companies would still cover it.
But that mechanism doesn't work here, because we have a different system.
Our system categorises accutely life-threatening, longer term life-saving and life-improving (I'm sure there's proper names for that). And treats almost all free at the point of care (with some exceptions for immigrants and tourists/business travellers).
So what are these patients asking for? Hormones, various cosmetic surgeries, but these are all about appearance. Life-improving. So why would the NHS put extra funding in? Distress? I know patients who had mental health issues because certain parts of their body were not as they felt they should be. Causing anxieties, depression and distress, often debilitating and affecting their day-to-day life. They still don't get a right to have cosmetic surgery on the NHS.
And it's wrong to say that they're just asking for the same treatment as everyone else and asking for what everyone else is entitled to. They're not. The NHS must prioritise by design. We don't all have the exact same right to treatment. Life threatening conditions and injuries take precedence. Then life-saving and then we get to life-improving.
And in the latter category are a whole range of elective surgeries and treatments (elective here just means it's not an emergency but scheduled in advance). And the NHS gets to these procedures as they are able, but life-saving ones are prioritised. Yes, we have waiting list targets, but those are frequently missed. That's true across all fields. Especially because funds are an issue.
Hence the comments perceiving this lawsuit in less than favourable terms.