The Western forms of democracy all have some connection between the form and the exercise of power. This is, in part, a result of certain cultural assumptions that exist in our background. That "should be" I used was a way to point towards that.
Actually, I think this is one example where the non-Western form of democracy --- direct elections --- had a far greater connection between the form and the exercise of power than the preferred American solution of indirect elections/caucuses from a preselected slate of candidates. Undoubtedly in the American scenario, power would have remained completely with CPA officials as opposed to Iraqi political figures.