There is no direct or causal connection; at least I've no studies to cite or similar. It's common sense. Take any activity and I bet you will find that those that explicitly seek to engage in that activity will perform it better than those that come across it by happenstance. In voting that means understanding what you are voting for/against.

Do you you really think that a passive participant in an activity performs at a similar level to an engaged one?

It is not common sense to think that the amount of patience someone has for waiting in line on a particular day is a good heuristic for how informed they are.