Here is my opinion. Opinions are like a posterior orifice, everyone has one.
Knowing the temperature of a tire is not as important as knowing the PSI. In most cases the temperature is going to be elevated because the air pressure is low resulting in a larger contact surface with the road. That increased friction is what elevated the temperature of the tire. You should inflate the tire before the temperature elevates. In a rare situation a bad wheel bearing could lead to increased temperature of the wheel but by the time the wheel temperature increases the bearing and axle are toast. Most tire pressure monitors that give a temperature reading are aftermarket sensors on the valve stem. What they most often show you is the increased temperature caused by the sun shinning on that side of the vehicle.
Bob