I don't expect it will go that far at all. Surely a company will test the idea of having an AI give executive-level guidance, but when it does so, it will be hastily dismantled. Companies do not structure themselves in the way they do and act the way they do timidly. The C-level executives are not worrying that they could be doing things better. You can see this clearly as essentially every single large company consciously and intentionally ignores research. There are over a thousand studies showing that open floor plan offices are abyssmal for productivity and actively reduce the profit a company earns. Any AI would tell the execs to have the majority of their workers work remotely, and give the few which remain in company facilities private offices. And the execs would summarily ignore it and cancel the project, declaring it a failure.

They have faith that they are doing the right thing. Research tells them they are not, and they either do not care, or, in my opinion, desperately guard their self image as a 'leader' over and above any concern for profit or long-term viability of the business. An AI would be permitted to take a strong role in making decisions for a company only insofar as it plays the role of toady, having been tweaked and misconfigured to ignore all facts which could result in it telling the executives that they are running 'their company' in the wrong way.