For me it's all about health testing and whether people are doing everything they can to breed ethically, responsibly and trying not to add to the rescue situation.
I don't remember my dog's KC name without going and looking it up (because it's stupid mostly, lol) it's mildly interesting to see whether his relatives at Crufts look like him, but only mildly.
He actually has a few health issues ironically enough, but, I do know they're nothing to do with his breeding and that his relatives aren't similarly affected and still being bred - which is what health testing offers.
It doesn't stop random bad luck, but you at least know your dog's breeder isn't out there wilfully breeding dogs with illnesses because they are taking health seriously.
To me that doesn't make any difference whether they're pedigrees, crosses or completely mixed mongrels.
Out of my own personal choice I'd take a rescue first (when getting this dog I had other opinions to take into account) then a responsibly bred puppy second best and wouldn't give money to someone who can't even be bothered to health test their dogs at all.
Like I said any popular breed suffers from bad breeding, the problem is that with poodle crosses not only are they popular, but people do believe that they're inherently healthier when that isn't the case at all.
I also think there are some breeds that just shouldn't be bred from ever, but that doesn't make any bad breeder justifiable just because someone else is breeding dogs that are unhealthy.