You believe that a student that derives a proof from scratch is less knowledgeable than a student that rote memorizes it out of a textbook?

My argument comes from the perspective of the real world. It is, in effect, the same type of argument that drives the "interview questions on a whiteboard" discussion -- which qualities are actually important in an employee? As someone involved with hiring for a company that consistently produces high quality, critical code used in important systems, my experience is that "working under pressure" is pretty far down the list of important qualities.