What are you getting at?
in reply to Initiative or otherwise?
These scenarios do not really warrant comparison because they have entirely different goals. The goal of scenario one is to complete a task, and anything learned in the service of this goal is a "fringe benefit". The goal of scenario two, on the other hand, is learning, and the completion of the actual assigned task is merely a means to this end.
So while reinventing the wheel may be a necessity for learning, it's an impedement to efficient and correct implementation of a task. You're comparing apples and orangutans.
s aamecha.s a..a\u$&owag.print