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I haven't done any math to support this yet, but my semi-educated opinion is that the current draw and subsequent engine drag from fans will be greater than the losses of scoops, for an equivalent volume of air.
Edit: At one point Formula One saw the use of axial fans underneath the cars to increase downforce, and it proved extremely effective. Brakes would be an obvious place to exhaust some of this air. I suppose it depends on just how much power you're willing to sacrifice in order to gain advantage in braking and traction in the corners.
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