I recall reading a study previously (I can't find it at the moment) on creativity. The two groups were given two tasks in an art class. First group was told they would be graded on the sheer volume of output, while the other was told they would be graded on the most creative thing they could produce (I'm leaving out a ton of detail, and I can't remember what kind of art class it was).

The conclusion of the study was that the first group, who was just focused on volume of output, actually produced more creative works than the group specifically focused on "creativity".