Just like how Twitter had a “CEO” who was some pliable female who did the bidding of the real CEO: Elon Musk.
And you could even imagine AI owners with something like Bitcoin wallets. So far it wouldn't work because of prompt injections but the future could be wild.
That is an overly simplistic description. One can imagine a board of directors voting on which AI-CEO-as-a-service vendor to use for the next year. The 'capital' of the company is owned by company, the company is owned by the shareholders. This is not incompatible with capitalism in principle, but wouldn't surprise me if it were incompatible with some forms of incorporation.
Also, you are strangely asserting that a tool operated by a group of people is an executive. People are always in charge in our world. Even if a man builds a device that kills him, we say that he committed suicide, not that he was murdered by a machine.