There's no weight on the outer underinflated tire.
Grizzly,
Can you have the person running this configuration use an IR temp gage and post to us the tire temp difference between the under and normally inflated tires? That, and a wear indication gage, would be the only way to tell if this can be done over time ... at $150 per tire, I'm not sure the fuel saving would be worth it if a tire failed due to overheating.
Have you ever had a tire go flat on one of the dual's? How many days until you discovered that you had a flat tire? It's happen to me at least twice and many days went by before I discovered the flat. The last time was two years ago on our last leg home from Alaska. I checked all the tires that morning, as I do every morning while towing. We had the Lance camper on the truck. While at home I discovered the flat a few days later. No telling how many miles I drove the truck with one flat dually. Nothing happened to the tire, I had it fixed and all is still well. Now, I have a IR Fluke and I check all the tires every time we stop.
I may try your suggestion with no load on the truck.
When calculating the air pressure required on mine when unloaded after weighing at the scale I should be running around 25PSI and refuse to run less than 30 and that is what I have in them, even wear. 30 lbs minus 20 means my outside is basically flat I don't flat I don't think so.
Never had a dually flat, but had one tire low --- all the other 3 ran 90-95 deg and the low one ran 130 deg. This was towing a trailer with 900 lb tounge wt and 800 lbs in the bed... .
Not sure what temp drives tire degradation --- I use the IR all the time for truck/trailer tires and trailer bearings. Invaluable tool.