Now, certainly you can make a rule that if you have information your character wouldn’t, you are only allowed to act in ways that are contrary to how that information would lead you to act. However, this rule would first of all not lead to the same outcomes that would occur if the player simply never had any knowledge that the character didn’t have (as it precludes those dumb luck moments). Second, there are a lot of issues with actually enforcing this rule, the most significant being what happens when there’s disagreement over what the character would or wouldn’t know, and what do you do when there’s disagreement over what is or isn’t contrary to how the information would otherwise make the player want to act?