Really? A champion behind a dog doesn't indicate quality at all? Sorry, but we will have to disagree on this one. Especially in a breed that is very competitive like Chihuahua's. Sure, there may be a savvy handler who can get out there and finish a mediocre dog. But on the whole - I believe that YES - you can assume that a champion title does mean that the dog had enough good qualities to earn its championship.A red CH does not indicate quality at all.