it's interesting to note the practice of treeing cougars, who are thought to be the cheetah's closest relative. the logic in the video seems reasonable, and it would likely hold if you're talking about a wild cheetah vs. your cute golden retriever. but, you don't have to get as big and violent as a pit bull to instill a legitimate level of fear in most species of wild cats.
i think that variation is consequently the important factor. if 100 controlled experiments were carried out, i'd guess the cheetah would win something like 70 of them. but, i think there are some pit bulls that could pull it off.