Ok I see, so any dog no matter breed with this "recessive gene" can get a pink nose?

I must of misunderstood
Any dog with that particular recessive gene, regardless of breed, will produce it when bred to any other dog with that particular recessive gene, regardless of breed.
Blue eyes is a recessive trait in people. Just because you are blue eyed doesn't make you inbred.
May be different in Florida though? I don't know.