Exactly right.
A dog can only face "so many" opponents.
There are probably 30 winning dogs Puma's weight. He can't face them all. So Global Kennels can "laugh" all he wants, but that doesn't mean he has the better dog. (Even if Puma's owner is "afraid," it doesn't mean PUMA is afraid, nor does it mean Puma wouldn't whip the dogshit out of Global's dog, if they actually faced each other.
Jack