One of the things that has always bothered me about "Hot Pressures" is that if you start at 40°F, you get a different operating temperature than if you start at 90°F (with the same "cold" inflation pressure". So I can see why some would want to use a standard temperature and pressure reference when setting pressures.
But the problem is everyone focuses in on the air chamber pressure/temperature, when it's the temperature at the edge of the belt that is the important temperature. This is something that could be determined, but I don't think anyone has sat down and done the homework to actually quantify how this actually works.