We would certainly require fur (ignoring the Mexican Hairless chihuahua, of course); we would require barking, four legs, canine teeth, claws, tails, and perhaps others. Would we require a specific color? A specific size? Probably not. Since we would not require a specific color or size, these features are to be considered irrelevant.
Fur
Barking
Four legs
Canine teeth
Claws
Tail
Size
Color
Why are we willing to ignore the Mexican hairless dog for not having fur, but not the Basenji for not barking