It's not that there would be a shortage of people to run those corporations but there would be a shortage of people with the sociopathic mentality to run the corporation as it would be wished to be run by the stock holders and Boards of Directors.
They need amoral people who have no problem putting money and profit ahead of people. These sociopaths are few and far between. There aren't very many people willing to actually sell out their fellow man for a few more dollars, people who will take the entire burden of the actions, allowing the boards and stock holders to place distance between themselves and the actions of their corporations.
The only thing they produce is the cover for the sociopathic, authoritarian dominator plutocrats and oligarchs to continue to consolidate power and money and through money consolidate more power.
Ayn Rand’s admiration of sociopaths extends beyond the captains of industry as her infatuation with murderer William Hickman is well documented. If this is the type of person she admired, the type of person upon which she wrote “Atlas Shrugged,” then what does that say about the people worshipping at the altar of objectivism? They are no better, at least mentally and morally, than the cultists that followed Manson to the Tate home. Although they may not realize it because the authoritarian followers will not allow this information to penetrate their bubble and if it does it will be dismissed as a lie because it is something that does not confirm their world view.