Having been a professional freelance writer and designer, I would tell you that you are wrong. They are much the same mindset. Now, running the business? That's a whole other animal and not linked one whit to being a creative type.
I'm not sure where we disagree. A person working inside the business (and freelancers may not count as "inside", depending on how the company treats them) generally has access to some of the business information - they need to know *why* something is being done to do their jobs properly.
Long-time GMs, being consumers and not inside the business, do not generally get that information.