It's a brilliant idea!
Obviously you'd need to have a very flat piece of ground to do the measuring on. And driving the car onto the scales without wrecking any thing may require a small ramp at each corner.
I think if you (or someone else) bought a pair of those or similar scales, set them up with a bridge piece and then sat the other 3 wheel onto blocks of a similar size so the car was basically level, then the concept could be proven with minimal outlay.
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