Firestone rear tires went from 80 PSI cold, to over 100 with under 6000 on the rear axle. Michelin tires did not do that with the same load, same truck.I'm curious what you meant by this. Did you mean that after towing at 90% rating, your air pressure rose from 90psi cold to 100psi hot? I would think this is normal due to the effects of the Ideal Gas law. It does not take long in driving for the tires to start to warm up, correspondingly heating up the air, where the result must be that pressure will increase as volume remains static while temperature rises.
An example of how important this is relates to my motorcycle road racing (GP style track racing). We use tire warmers to heat our tires as well as heat sinking the rims as much as possible to about 175F. It's at that temp that we set tire pressure, based on our bike, the track conditions, and the specific tire. Even then, after sitting on the grid we then do a "warm up lap" before final grid - for which the purpose is in large part to get some more heat in those tires. Tire warmers are even used on the grid and removed (along with the portable generator, wheel stands, etc) just before they're ready to drop the flag.
So, I would not at all be concerned over a 10 degree F increase in temp from cold after driving even a short distance. But that's just my thought.
In the pic, you can see why tire performance and temps are something I was pretty concerned with.......
I am also used to adjusting motorcycle tire pressures base on % of increase from cold to race temp.