The humans will still own the business (unless you are proposing some alternative version of AI ownership), so in effect there will be always a human who is concerned about their business’s well being.
I doubt that we would get into a world where a company would be allowed to run without human involvement (AI directors and AI management) as you will have nobody to hold accountable.
Well, wasnt this what are all these blockchain DAO entites where supposed for? :D
Yes, I was just about to bring this up as well. One could argue that they were simply too early. It will be interesting to watch things like ERC-8004.