I have written a bit about the relation between logical and heuristic thinking and I think you did an excellent comment; you might consider expanding it slightly as a top level post.

On the other hand, in the case of a conflict between a heuristic answer and a logical linear answer, I will always go with the heuristic.

Unless time limited, I usually try to find the error in my thinking. Usually, it will be some factor I missed in my logical analysis, but sometimes it will be some factor my gut feeling didn't accurately weigh. That is why we need to continue learning about availability heuristic and other biases, we need to learn them so thoroughly that our gut feelings take them into account.