From: Chicago, Illinois
As Allies, it makes no sense to run the HI. HI consumes fuel, and gives you supplies and HI points. The Allies don't need HI points, so all you get is a conversion of fuel to supplies. Since you have somewhat limited fuel hauling capacity, and basically unlimited supply hauling capacity, it makes no sense to leave it on. Turn it off, and if you need the supplies, haul them instead of make them.
As Japan, all the Resources you need in Japan are very close to Japan (China, etc); leave them in OZ.
I would bring in the fuel to run HI for awhile, in lieu of expanding HI elsewhere. Certainly as you are leaving Australia, if you ever have to, you run the HI to burn-off any remaining fuel stocks. But I would give it lower priority than other areas of the Empire.