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Welcome to Ecomodder and the Aerodynamics sub-forum. I also have a roll of duct tape on the shift lever. Apparently you not concerned with preserving the stock appearance, so that's good. How would the yellow duct tape compare with round-cornered aluminum rectangles and pop rivets? Sprayed with black Plastidip?
The rule is the opening only needs to be 1/6th the size of the radiator itself, given an ideal intake plenum. Part of it is the shape of the duct (and you have that pan), but the other part is not bleeding air around the radiator, so seal it up.
Probably instead of air circulating up from the bottom, radiator air is being pulled by a venturi effect at the bottom of the engine bay. Small, efficient intake and large inefficient exhaust.
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