The AKC is accepting and has always accepted cross registered dogs from the Canadian Kennel Club, FCI and UKC, SV and other legitimate registries. I've had three dogs with dual registration in legitimate kennel club registries.
They were toying with the idea of doing an alternate registry for spayed/neutered dogs from the toilet paper registries (they'll register anything breathing for the $$) if it looked like the supposed breed, and had five generations of documentation but I had not heard that they had decided to do so. That's not the same as full AKC registration.
I've also seen 10,000$, fully registered, shown and trialed dogs I wouldn't have paid ten cents for and never would have bred - papers are just papers, either the dog is high quality and responsibly bred, and a proper specimen of the breed or it's not.
I've known quite a few deaf white boxers, collies with collie eye abnormality, deaf ACDs and deaf Australian shepherd and though fewer still many deaf and blind in those breeds - working in shelters you often see them when their purchasers freak out and dump them in a shelter.
Unlike the harlequine dane for example. It is not a lethal white and produces fewer deaf/blind dogs than other forms of the same type of genes. Harl to Harl breedings (danes and dachshunds to name two) produce the most deaf/blind dogs, in collies you see a lot more of the "collie eye" problem in dogs with more white in the neck/collar, especially merle to merle, as you do in merle to merle Australian Shepherds/ACDs aka heelers.
As was said the flashier the pattern in the parents the more likely a problem in progeny at some point. Shelters tend to see a lot of them - because a LOT of puppy purchasers dump the poor critters when they're NOT perfect.
Even a search of petfinder usually shows up blind/deaf dogs and you get a feel for it, they're often aussies, collies, ACDs, boxers, dachshunds and danes. Unfortunately and often shelters euthanize them immediately when they come in because they can be very hard to place properly.
I'm taking in a Deaf dog in May, she's pyrenees, and it's more from unfortunate levels of inbreeding than anything else. She's from a hoarder bust.
I like working with deaf and blind dogs, they often turn out to be terrific companions.