If the G80 code isn't listed (which it isn't), you should have an open diff.
That's what I'm thinking, yet, there's ample circumstantial evidence that it might be a posi. (ie: the ruts in my driveway it dug with all four rear wheels, the fact it will throw twin rooster tails of snow, the symptoms of the problem which sound like a clutch pack not releasing, etc.)
I checked the dealer history on it and the rear was never changed, but I wonder if the shop that took the cab & chassis and completed the truck could have put a posi in it?
I know... more questions than answers...
I'll crawl under it tomorrow and see what I find on the axle tubes.
If both sets of wheels have the same amount of traction, they'll both spin...
My open diffed S10 spun both wheels alls day long when both were on ice, but when one was on pavement and the other on ice, only the one on the ice would spin.
No G80 code = No locker/LSD