I've been working as a PM for the last 4 months and taken Pragmatic Marketing training as well.
I think the 'mini-CEO' analogy is an extremely flawed one that discounts a large portion of a CEO's job and marginalizes the real and very significant differences between even those parts that are similar. This is particularly the case CEO's of medium to large companies.
This isn't as true for CEO's of start-ups, but that is because the CEO will possibly be fulfilling the PM role as well, not so much that the PM role is like the CEO role.
However, I do agree with looking at it as an entrepreneurial role.