This is a broad range of skills and to actually be a CEO, you need to really hone these skills and be among the very top. To be good at those, just enough to qualify for a modest CEO role at a small start-up, you generally don't have the time to be good at anything else.
Saying that you don't need any skills is mischaracterizing it. You don't need any value-creating skills, yes, but you need significant value-capturing skills.
I can imagine a world were all companies become empty of workers and only executives remain and they would just have meetings with each other while they starve and would explain it away as a new diet they're on. There would be no petrol and they would be forced to walk to work and would say that it's their new fitness routine... And they would all believe each other.