In most jurisdictions a limit a limited company has to have a board and a CEO. You can outsource middle management- this is what McKinsey, Bain, BSG etc essentially do, but you can't legally outsource the guys at the very top.
So what? They would just be the department heads of the previously monolith company (e.g. instead of having a sales department with a VP of sales and a few top managers, you just have a Sales Company subsidiary with a CEO and a few board members).
You already have that at large companies, the CEO is also head of a lot of subsidiaries. You can then compensate at that company as it best fits and channel the main compensation through another company.
