This is a question that I have been asked many times. It's not a simple yes or no question. It depends. Matching an owner to a dog is essential to a good relationship. The more the potential owner knows about the breed and the dog, the better the chances that they will have a long happy life together.
Border collies, like many working breeds, were developed to do a specific job. It didn't matter much what they looked like - long haired, short-haired, straight coat, wavy coat, black and white, tri-color, blue merle, flopped ears, prick ears, wide head, narrow head, long nose, shorter nose - as long as they could do the job. Of course a dog that was poorly structured, would not have been able to work all day on the hills and in the fields. The typical border collie may have varied in looks but they were sound and healthy.