I think we have that for Sarbanes-Oxley compliance. I wonder why CEOs are responsible for some crimes, but not others.

Captain going down with the ship analogy for CEOs would be to personally pay from their own pockets or their future compensation any misdeeds on their watch. If this were to happen I bet we’d see companies immediately start behaving

My idea is more fun though :(

On a serious note, I unfortunately don't think that would make companies behave because the problem with corporations is not specifically bad leadership but a more systematic one.

Hierarchies just naturally cause communications to breakdown between different levels of an organisation with sufficient scaling and this will lead to inevitable conflict between workers and management which will further expand to conflicts between the company and their own userbase.