CEOs are NOT like elite athletes, and are much, much more interchangeable than is sold to us by those who benefit from keeping CEO salaries so high. Many work very long hours and have little family time, and deserve compensation for that, for sure. That said, it's the companies business what they pay their CEOs, but investors have a right to know those salaries as part of the investor's assessment of overall management.
[Since this is an SEC rule, we are talking about public companies only]
You are correct, but that should be a matter for the board of directors to deal with in the manner of their choosing...and the BOD work for the investors.
This should in no way be a matter of public regulators to manage.