You are not considering enough variables, here.
Take the simplest one. You are assuming that the humidity of the 'fresh air' is the same as the humidity of the air within the tyres. The humidity in the tyre's air has major effects on the pressure changes. If the user has an 'water filter' on their compressor, the humidity will be different than that of most compressors used at the track.
You also haven't taken into account the heat dissipation rate differences between different wheel rims and different side pods 'sheilding' or 'exposing' the tyre to more or less air flow.
Tyre pressures has always seemed to be a 'black art'. I suspect advice from Hogwart's teachers would be what we need.
However, it's worth trying just for the fun of it.
I know certain teams who use a simple rule. If the tyre pressures increase by 2psi from cold to 'just finished the heat', then the tyre pressures are 'right'. If they increase more than 2psi: they are too high pressure. If less, they are low.
It seemed to work for them.....
Ian
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