This was a well done OP on some extremely fucked breeding. And this is with the understanding
that it's dog breeding; and most dog breeders are a little kooky. These dogs don't show normally is because they can't. Kennel Club shows have a structure: you walk around the ring once (on your left side, always on the left side), then the dog is judged, then you lightly jog around the ring once so the judge can assess the running gait. After everyone gets judged, all of you run around the ring again in formation. If your dog advances to the next group you have to do that routine again, up to 4x per day for BIS. This requires training; AKC champion dogs are usually trained from birth to show perfectly, so that they strike a pose like runway models. I doubt the breeders of these toad doggies have the discipline to train that behavior. I doubt the doggies have the physical stamina to show normally, either.
Watching these little toad dogs on video I'd guess that they probably cannot tolerate that much physical activity. The videos of the puppies playing are particularly sad; they have the instinct of normie dogs to play with each other and run and chase, but they're hamstrung by their crappy bodies. They can't breathe well enough to play, their front legs are in a different zip code than their chests, their back legs are dysplasic. They run for a few steps and stumble. They're like all the worst traits of each of their component breeds, intensified by artificial selection. A lot of traits are very inconsistent between lines, which is why the breeders are talking about 'toadline' for that awfully low pelvis, or 'alien' for the hydrocephalus puppies (and one anencephalic puppy

), or 'gorilla' for the hunchback shoulders.
Pit Bulls have a breed standard, toy bully lines are all over the place.
It's so telling that the breeders only assess dog value by coat color and body shape; real breed standards also judge temperament. A Chihuahua should be sassy and high energy, a Bassett Hound should be low-key and patient. The temperament of the Toy Bully dog is 'disabled', like owning a living doggy doll. At the shows it sits there on a piece of fake turf with its owner shouting over it like a carnival barker about its good attributes.
This whole thing looks like a pyramid scheme... built on animal cruelty. Sad. The dogs also look kinda like pixiu, a Chinese legendary creature. I don't mean that as a positive.