Ha, think I see a flaw in all this. Now most of us run on bargrip, trackgrip or other cross country type tyres. They are not flat across the tread, so circumference is measured around the centre ( mould line ), OK all well and good, but.....because of the heavily radiused profiles, when running at lower pressures you get the outer flanks of the tread profile in contact with the road, when this happens, the centre of the tread actually inverts as sidewalls bulge out, therefore the maximum circumference is reducing to the smaller circumference of the outside of the treads.
No matter how much theory and calculations you can come up with, there is nothing better than practise to prove a point.
:yawn: