Pressure and temperature

[GeoZ]

Picked up a 2020 Silverado Max Tow 1500 4X4 crew and towing a 2019 Cougar 322RL. Took it out for a test pull today (wasn't snowing) and have to say truck did great both on local roads and interstate. My question is the truck is equipped with package that allows me to monitor trailer tire pressure and temperature. I had the trailer sensors installed and just had to see it work. All tire pressures were set at 80lbs. After 30 miles in the interstate tires raised about 8lbs in pressure which I expected and temps were running 90-93 degrees. Outside temp was around 50 degrees. Now that I have this info what should I expect to see temp wise? My thought is to watch and look for the one that goes wacky from the others. Other than that, enjoy the security of knowing. Am I correct?