"....Okay, CapriRacer. Here is one from a MiniRacer....."
First, from a tire's perspective, racing is a peculiar activity and experience on the track doesn't translate well to knowledge about what happens on the street.
"....---Question: What are the TP/tire load changes when rim width is considered...e.g., rim specs for a tire are x" and you install the tire on a x+1 (x+2,etc.) rim?...."
Load capacity / tire pressure is based on deflection, and for practical purposes, changing the rim width within the allowable range doesn't significantly affect the way a tire deflects - so tire pressure recommendations (based on load capacity) don't change.
"....From our experience, tire pres can be somewhat lower than max and tire temps seem to be a bit lower overall...."
Going wider in rim width will cause the tire to "arch" less, which should result in the tire temps calling for more pressure. The fact that you are getting the opposite result leads me to believe that the tire is being stiffened up considerably by the change in rim width, and the result is less deflection = less heat build, less pressure buildup.
Remember, you are only using tire temperatures as a guide to getting an even footprint for maximum contact - and therefore maximum cornering ability.
Food for thought: When you measure footprint temperatures, you combine straightline temperature generation with cornering temperature generation. Since you are only concerned about cornering, shouldn't you factor in the effect straightline temperature generation has on your final answer - which I would think would result in less pressure. I never had the opportunity to test this out.
".....Also, tread appears to wear more evenly...."
And on a racecar, why is this important?
Most tire wear occurs in cornering,(but not all) and racecars are almost 100% about MAX cornering, which is something most of us don't do on the street. So tire wear on racecars doesn't translate to tire wear on the street.
"....Load capacity changes are beyond our track test ability to determine...."
I agree with that.
"....Not normally a problem in racing, but I see some pretty strange combinations on the street...."
There is a phenomenon called "tire stretching" where the tire is mounted on rims wider than the range published by the tire manufacturers. This is done strictly for looks.
For practical purposes, the sidewall is taken out of the picture, and the vehicle might as well be riding on solid rubber. (Maybe that's next?) I've heard of a couple of cases where the tire bead pops off during cornering - result is a ruined rim.