I'm guessing the rescues quickly realised what the dog was intended for (as a toy for the kids) and then laughed down the phone, rightly so
Fraggot, if that is your attitude to your work in rescue, then you and your arrogance are part of the problem.
I was the one who had the laughing rescue staffer on the phone. I'd rung a small local rescue. I said I was hoping to re-home a dog, and that I was at home full time because I had young children, the oldest was 6 and - Before I got any further she laughed at me.
They had a blanket ban, she told me: no children under ten, under any circumstances. She didn't bother to find out that we didn't want a dog as 'a toy for the kids', or that DH and I had both grown up with a motley assortment of dogs (some of them rehomes), or that we had wanted a dog since we first got together, or that we were not planning any more DC, or that the DC were very used to dogs, or that finally we had a big enough house and garden to have space for a dog, or that we would walk the dog every day, love it, vet it... None of that. Just, you have kids, hahahaha who do you think you are, NO!
So, as I said, we got a puppy. The DC were taught to respect her and none of them even came close to being bitten. She wasn't brilliantly trained, but her recall was decent, she was very social to people and other dogs, she had two walks a day almost every day of her 15 year life, had a lot of fun, and started a new generation of dog owners on their love of dogs.
We could have given that life to a well-screened young rescue, in fact we were asking to do so, but some pompous arrogant arse thought laughter the best answer to an honest enquiry. We could have been started on a long career of rescuing dogs, but having found other rescues almost equally restrictive, we didnt. And having had one puppy and thoroughly enjoying the experience, we've had two more since. We know about puppies now, much more than we know about settling in a rescue or dealing with any issues it might have. In fact, I've got quite serious about what I do with my dogs, so when we last looked for a puppy, we had a particular breed in mind and I was after particular traits within that breed.
So yes, great result from laughing down the phone at someone. Go that staffer. Well bloody done.