@AuntieJune I agree. I don't mind at all being considered a sharp-elbowed pushy parent, I've done it lots of times for my children in the NHS system and also to help their educational difficulties (e.g. profound dyslexia, never tested for, always told just fine, until it wasn't).
Don't feel remotely bad, I work the best I can within the creaking system we have. The gov't have all but abolished testing for dyslexia in schools now, so what's the choice, have a child fail and feel terrible about themselves, or pay £300 for a private test.
Money buys a lot in an unequal system. I've paid to see consultants to get an opinion, I ring up and find out when there's cancellations, read online what the NICE guidelines say, read up on dyslexia. I can't change the system my children are going through, I didn't vote for this government and I actually hate both the education system and the NHS in the country, neither are fit for purpose, but I have to work with what is, not what ideally I'd like to see in 30 years time.
Up to everyone else what they do, but if an appointment is cancelled at the last minute, it just stays empty and unfilled unless pushy old me takes it. I have learned to navigate the systems as they are very poor for UK children often and I want my own children to have at least basic care and basic education.