Higher presure result in a higher tyre temperature .(stiffer springs to!) The temperature generated by sidewall flex is less importend and heats the tyres sidewalls, not the tyre patches on the road surface.
For your second question , yes and no.
If I have really soft wet tyres, I pump them up and gain heat at the normal way, at the tyre patches.Now it is possible to race in the wet with stiff springs.
If I have not soft wet tyres, I let them down to gain a little heat from the sidewalls . More importend is that with lower pressure in the tyres the stiff springs are no longer "un-driveble"
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