Interesting. Intuitively no. But then, hm... maybe. There are some aspects that ring true but many others that don't, I think it is a provocative question and there probably is more than a grain of truth in it. The biggest difference to me is that the producer (normally) doesn't appear 'in camera' but the CEO usually is one of the most in camera. But when you start comparing the CEO with a lead actor who is also the producer of the movie it gets closer.

https://en.wikipedia.org/wiki/Zachary_Quinto

Is pretty close to that image.