Stephen,
Starting with overinflated tires is a hold over from my travel trailer days. Back then most everybody did.
As you say, tire pressure increases with usage. That would be due to heat from the friction of the sidewall flexing, right? What stops the pressure increase? Why doesn't the tire get so hot it melts on a long run? As the pressure increases, the tire gets stiffer, the flexing decreases, the friction decreases, and the heat build up stops and a balance is reached,
provided there is enough air in the tire for this to happen.
An under-inflated tire does not have enough air to allow sufficient pressure increase to stop the flexing. Friction heat continues to build until the tire overheats and fails. I think we can all agree to that. It has happen too many times to be discounted.
By using a slight over pressure, I am not starting with a "cold" tire. Lets say I'm starting "lukewarm". Now as I go down the road and the flexing starts I am already at a higher pressure which reduces the flexing, reduces the friction, and causes the balance to be reached at a lower temperature.
That was the travel trailer community rational back then. Things may have changed but is was accepted by many many travelers. And, it sounds good to me.
After all my attempts to get a load range D 14" tire locally failed. I considered going to 15" tires and wheels. That just did not seem cost effective. So, I ordered an ST215/75R14 Carlisle. It should be to the dealer Wednesday. Why fix what isn't broke?
Ken