All I've learned is that you need the studio system sometimes, if your budget is a certain size, and other films you can do independently. When I think of a studio, I generally think of distribution. Since I'm a director, I have a similar creative experience on every film I do, because I can control that. But then it's a different film, I think, as it reaches the public, depending on the way it's marketed. I don't know. I haven't learned much of anything. Sometimes you need them, sometimes you don't. Sometimes they want you, most of the time they don't.
No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through.