A recommendation from someone you trust is worth its weight in gold. Have you ever hired anyone? The last time I did, I received about 100 applications with all sorts of experience. There were a number of qualified applicants, but they were very hard to tease out. I then got a personal recommendation from someone I know and trust. I threw away all of the applications and hired that person. It worked out great.
Remember, they will never know you as well as they'd like. They are putting their hospital reputation, their credentials, their malpractice premiums, and even occasionally their license on the line if they hire a poor resident. Trust is huge, and it can't be seen on paper. You will do the same thing, atleast I would. If a bunch of people you really trusted called you personally after matching at a program, saying it was the perfect fit for you, you'd probably rank it highly.