Brad---- Tires in general are a hot topic. Weighing your rig, 4 corners and total, is essential for many reasons. First, are you running overweight, total or for one wheel/axle? Your tires and suspension are rated for weight limits. If you over-stress these limits you are, obviously, shorting the life of your equipment and endangering yourself, family and others on the road.
Another factor for raising the rolling internal temperature of tires is humidity. If the air going into the tires is very humid it will expand more at any given temperature than dry air. I have a dryer on my pancake 150psi compressor.
Aging of tires is another factor. The rubber compounds continue to cure over time and with heat. The sidewalls become stiff. Old tires generate more internal heat than new tires. Also, the design characteristics of each model and manufacturer of tire will contribute to the amount of heat generated by it. (If I seem to be babbling here it may be due to the fact that I have 4 and 6 year old boys bouncing off the walls in this rv.
) Ambient temperature and altitude also contribute.
I just put new rear sneakers on and did the front last year. My base psi all around is 110. The tires all around are of the easy roll design. My TST system read around 124 psi/tire all around on my first run with the new tires. This was this past Sunday. Oregon to WA. The sun side seemed to show little difference. I have Continental HS3 steer and Toyo M154 drive. My old Michelin's would run about 135psi on this same trip and ambient temps.
There is no easy answer to your question, as you can see. If your tires are over 7 years old and have seen some extreme heat I would suggest getting new ones. If Michelin's and you have side wall cracking with tires less than 7 years old contact Michelin. They may make a deal for you.
I hope I have not given you TMI to confuse the issue.
Happy and safe trails,