I think you should go out to the garage and actually try that theory then come back and tell us what you found. Set all the tyre pressures to the same pressure and jot down the weights, then let one tyre down say 15psi and tell us what you find. You are altering the ride height of the vehicle exactly the same as going up or down with a spring seat which alters the weight on that corner and the corner diagonally to it. If you turn the steering, the change in castor angle will change the scale readings because the height of the vehicle changes. Unsprung weight has nothing to do with it
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