Tom Brady didn't become great by taking chances just because he had the arm talent to do it. He became great, and NE won games, because he made the right play over and over (usually check downs and often throwing the ball into the dirt to avoid a sack) and made the big arm talent throws when they were there to be made,
Give me the guy that takes care of the football and makes the smart play over and over all day long. That's what winning QB's do.