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If the underlying argument here is contact patch why not test it. Take YOUR tire down to 36 psi or whatever, lift the car, roll some water based paint over the tread and drop the car on some heavy duty paper. Then re-inflate to YOUR max psi and repeat, then measure. If the patches are the same, case closed right? This should even show weight distribution by how much of the treads are printed on the paper, to see which treads are making contact and how much.
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I seriously doubt that the correlation between contact patch size and rolling resistance is linear. The ultimate goal is not contact patch size, but MPG. Forget intermediate details like patch size and just produce an MPG to PSI plot. You'll see the diminishing returns I'm talking about.