I left Indiana in an ice storm an 29 degrees, TT tire pressure was 55# cold pressure. A few day later I was in the Texas panhandle and 80 degree weather, at a gas stop my TT tire pressure was 80# hot pressure. A couple of day later I was in Albuquerque NM with 3 inches of snow and temps in the 30s.
When I reached Phoenix the temp was mid 70's and the cold TT tire pressure had returned to 55#. I spent 58 days touring around AZ, NM, UT and back to IN. When ever I checked the cold pressure it was always within a few pounds of the 55# I left home with.
These were OEM "C" rated ST China bombs doing what they were designed to do. I replace then after 18,000 mile because they were seven years old.
I now have a set of ST tires rated "D" at 65# and "C" at 55# with almost 20,000 miles on them. I keep them at 60# because of the harsher ride.
It is the same with my "P" rated truck tires. When towing, I set them at 40# and go, although the truck came with tire pressure sensors. TPS are not a bad idea if you fret about your tire pressure.