Some people are bad at being wrong. They get annoyed when it happens or they get annoyed when challenged. Annoyance leads to bad behavior — aggression, neutralizing dissent, deception.
A key trait is being wrong (you will be) with some poise. E.g., “I was wrong. Sucks. Now what?”
The diagnostic is: can you admit mistakes publicly? If you can’t, there is a reason. And the reason is probably you are the insecure crybaby that can’t be wrong. The reason is not that you are not wrong.
So find CEOs who can be wrong and be such a CEO.