I think that I'll be attempting the private options Sorry to hear you both had issues. It's just not right.
Here in Sweden the universal healthcare system is really broken (because of underfunding). Was in queue for an assessment one year (with likely one more year to go). I opted for paying out of pocket for an assessment at a private clinic. From screening to an established diagnosis it took less than 2 months.
I went private to see a psychiatrist specialist in adhd!! 3 years ago!! Still not seen anyone for adhd in the NHS