In my view, no. The CEO is at best a race condition breaking function, at worst, a parasitic infection.
If corporations are self-optimising AIs, then they will optimise CEOs out of existence if they aren’t conducive to fitness.
Actual problem solving in a corporation is done by humans. Corporation policy can provide a set of incentives to align goals of its employees with the goal of the corporation and a structure to more or less effectively combine specialists' efforts. But someone had to think about the corporation as a whole and change its policies if the need arises.
Cephalization is a known evolutionary trend after all.