I think that intelligent people have a greater capacity to learn and retain knowledge, so it's not 'no link', but just an element of intelligence. They're also better at learning important evaluation skills that help them process new information successfully, or at the very least to appreciate the dimensions of a problem, even if they don't immediately understand them.
I like to think of it as everyone could be placed out of ten - half of the points available for mental aptitude that you're born with, half for skills and knowledge that you acquire. A 'six' could be five of one, one of the other. Only the 'five plus five' people are the real geniuses, so it's a good job we don't need too many of those
.
I do know a brilliantly well-educated guy who places enormous importance on intellectualism, and is incredibly good at repeating arguments, but he can't debate with you. It's all a regurgitation of other people's ideas, and he can't easily deconstruct ones presented to him on the spot.
I expect people will be along in a minute to say that everyone is intelligent in their own way and that there are different kinds of intelligence (that I don't deny - it's way more complex than I'm saying here, obviously). Most people like to think of themselves of intelligent though, and any notion that it's in any way pre-determined is a fact that some people don't like to face.