The only breeders of cabochons or any of these designer crosses are typically people who shouldn’t be breeding and know relatively little about dogs. Breeding two unhealthy breeds does not make a healthier pedigree - you could be looking at a dog with heart issues, skull issues, dental issues, skin issues AND joint issues. Plus the personality defects as chances are the dog won’t only be unhealthy but raised in a poor enrichment with no proper socialisation or exposure.
This is an example of the average doodle breeder: Donna. She was mentioned here about four or five months ago, as an OP wanted to buy a puppy from here. She breeds cavapoos, goldendoodles, cavachons, cockerpoos and bichi-doodles. She’s had, at my last count, seven litters in 4-5 months (the latest cockerpoo litter are new - and yes, I keep an eye on her so I can use her as my example). These puppies are not loved. They are not socialised. They are not healthy. And what about the parents, do we think they have a good life? And Donna, well she doesn’t care. She’s made about £50K in 4 months. But the original OP who mentioned her (who got a lovely poodle after being warned about Donna) thought Donna was genuine because she had a nice website and said all the ‘right’ things.
There’s a Golden Doodle ‘breeder’ puppy farmer, near me. My local rescue (for Goldens) is inundated with requests primarily from people who got these dogs from that breeder who refused to talk to them once the dog has been sold. Why are they contacting our breed rescue? Because the dogs are unhealthy, riddled with issues and have personality defects as long as Putin’s list of reasons why he’s losing the war in Ukraine. The personality defects? All the worst traits of the Golden combined with all the worst traits of the Poodle. Why? Bad breeding and owners who should have just gotten a poodle or a lab.
Pedigree breeders (by and large - you’ll never convince me a pug breeder is an animal lover), breed for their love of their dogs and breed. They want to improve it. It’s easy to find a good pedigree breeder. The hard part is waiting for a puppy.
What do ‘designer breeders’ breed for? They definitely isn’t love of their breed - by and large they know nothing about the breeds they’re mixing (if they did, they’d never breed some of these mixes). It’s not to breed healthy dogs - they tend to use the worst example of the pedigree breeder because no owner of any well-bred dogs would ever allow their dog to be bred to create a designer breeders. So what is it? Money. Money and ease. Because people are naive. They think Golden Doodles are low maintenance (wrong) and they think Cavapoos are hypoallergenic (wrong). And they pay through the nose and don’t think about the consequences of the actions; namely enabling animal abuse.
That is the very high risk you run by buying one of these dogs. So, do you want to be complicit in likely animal abuse? What’s wrong with a bichon? Or a poodle? Because if you don’t want to deal with the ‘neurotic’ part of the bichon…then why get a mongrel that, almost certainly, will have that defect and more?