CEOs are just humans harboring things commonly called "emotions" just like everyone else. They are not the flawless machines that PR wants you to believe. That's why they and everyone else needs some privacy, to just entertain idle thoughts that are neither politically correct nor moral to implement. Those "could spend a million dollars" are basically a white collar version of "I'd love to take them out to the back alley and punch their faces because they make me angry". Even when you know that it would be stupid, criminal and in no way a good way to resolve an issue such thoughts still may pass everyone once in a while.
I generally don't think that holding "public figures" to flawless standards is a good thing, it just asks for them to play a game of pretend, putting up a facade all the time.
The moments they think they are in private those fake masks fall. Remember for example the event were Obama and Sarkozy call Netanyahu a liar when they think the microphones are off.