I can understand people using breeders if they want a specific breed e.g. my DBro & DSil wanted Burmese so went to a respected registered breeder. One of the managers at work has the most adorable British Blue kitten, and the health checks both the parents and the kittens went through before being sold gave him reassurance that there was very little chance of his child being traumatised by the early loss of a pet.
But I wouldn't go to a back street "hobby" breeder.
I wanted indoor only cats and when I got my first pair had all kinds of problems finding a rescue that would let me have any - even the elderly or disabled cats, or FIV positive, they said must have a small outdoors area. The very few that were labelled a suitable as indoor cats were also marked as must be an only pet - no use to someone who works out of the house as the cat would be alone all day every day which wouldn't be fair.
Then I found a wonderful rescue that was a bit of a drive away, that even had a section on their web site about the indoor life. I explained what I wanted on the phone, then when I went there I was introduced to a number of cats who would be suited to that kind of life, some in pairs and some singles who would get on with others. They tend to go a fair bit on intuition whether they think you are a suitable home for a particular cat/cats, and spent a looong time talking to me and my DSis who came with me to ensure I was the right person.
I came home with a bonded pair who on paper weren't quite what I'd wanted but were actually perfect for me in the long run, so when I lost my beloved boy last year I went back for a companion for the girl. Again I was only introduced to suitable cats for them to interview me, and the boy I came home with is perfect for Girlcat which is the most important thing. OK so a year on he's still very wary of people & human contact (had been a stray most of his life) but he's getting there slowly. And I didn't select him for me, I selected him for her.
When my DSis decided it had been long enough since her last very special cat had passed away, she went straight there & came home with 2 who are everything she and the adult son who lives with her ever wanted. The rescue are happy for her to keep them as indoors or to let them out once they are settled. She has only ever had cats from rescues.
Sorry I rambled on a bit there (blame my ADHD), but basically there ARE rescues out there who will show common sense in re-homing cats, and will make sure you get the right match for you and your home.