It could be that height says nothing about competence as a CEO, or it could be that the people who attain CEO and succeed despite height bias need to have an exceptionally strong mix of merit/will/effort.
I've heard the latter theory at least a couple times about US Navy SEALs.
The first time, it was a retired SEAL I knew (well over 6', and a brick wall) who one day out of the blue said something like, "You shouldn't feel bad about being short. The best SEAL I knew was a short guy, and he could kick my ass."
Later, I heard a similar anecdote in a speech: https://www.youtube.com/watch?v=pxBQLFLei70&t=440s
I've heard that special forces guys tend to be smaller, but I'm not sure that's true. It seems like there could be a few tactical advantages to being shorter, less likely to bump your head maybe, but who knows.
As famously quoted by Darth Vader: https://youtu.be/6A0rwG39Jzkt=349
I've heard a number of times that you want to be worried about the guy who looks out of place because he's there through pure grit, skill, and determination.