I did have one refer me back to my GP because he felt there was nothing more he could do for me even though it was one appointment and didn't even give me a proper diagnosis. Just said "features of emotional dysfunction". Though an Ed Psych I've met says I have some sort of learning difficulty but I won't know what it is until next week (probably just ADHD, not that it matters).
The only other people I was referred to for help haven't gotten back to me and according to online reviews I've read they're crap.
Not at all in the same way as you've described but more that they don't really give me actual help at all. In fairness, I've stopped caring and if the second lot ever contact me I'd just tell them to fuck off anyway. This is how my contact with mental health teams goes every fucking time and when this round started I said "this time I'll actually do it and get better". It's a fucking merry-go-round.