Once a dog is accepted by the kennel club of any country its Breed standard in theory is set in stone.
So the true Labrador is either Black, chocolate/liver or yellow, red is a newish term and never heard of some years ago and silver never. As for the dna tests, I suggest you read some more and consider whats said.
Some Uk Labrador breeders have deliberately crossed them with border collies, for added speed and send out for dog trials.
When tested for DNA, the answer is that the genes are so similar its not possible to give 100% answer on breeding once they are back crossed 2 generations.
So if you cross a labrador with anything and back to labrador a few times, unless you spent a huge sum of money on tests, you would never know your dogs were not labs.