Idk, I tend to think that people in positions of leadership overestimate their competence and ability to actually effect positive change in an organisation. They're kind of a monkey in the cockpit that we get to point at and say "Because of the monkey we are now doing x, y, z", but whether that monkey is a primate or a probability distribution seems irrelevant. We just watched the entire tech industry trend-follow and overhire, then layoff the overhires without any accountability as to how it happened, and you're positing there's some intangible skill here that a probability distribution can't replicate? Doubt.
Tl;dr - I think executive leadership is careening towards a reckoning that even its entrenched cronyism will be unable to avert. It will take one automated COO or CEO and the whole MBA house of cards will come tumbling down. Real domain expert CEOs will always be around, but the MBA plant will go the way of the support agent.