And the obvious answer of course is that recycling / mixing can be innovative and creative. The dichotomy only exists in our heads.
I believe this is because of how our culture choose to reward intelectual output. Your output needs to appear sufficiently original to be worthy of reward and protection.
For example a musician who creates a new song is not rewarded, in fact punished for naming all the influences they had coming in to said new song. (both morally, by people who would think less of them, and by lawsuits asking for a share of their profit.)