I have never once heard anyone make this claim.
For instance, see [0] below by fallingknife.
[0] https://news.ycombinator.com/item?id=35665329
This is not what we're talking about. This is about risk to the company, not risk to the CEO.
"Essentially CEOs are able to hold the board hostage."
Exactly. There is no risk to the CEO. They hold all the cards.
I have never once heard anyone make this claim.