This thread was interesting enough, and I happened to have a truck to test with.
Truck 2014 half ton lariat eld rear, very plain, fairly new street tires:
Test area flat clayish pasture, fescue ~4 inches tall (I mow an area for a shooting range) ground soft frozen under 8" of snow over half inch of melt/freeze ice.
First, I am amazed at how well traction control and abs work MOST of the time, for this test (and doing donuts) they are useless. I am able to "disable" tc while in 2wd but, it kicks back in at a fairly low speed, so I couldn't simply floor it and see if I could eventually find the bottom and dig out, but I think I got useful results. The data bellow is with tc disabled as best you can, it does go away in 4 low.
1. 2wd eld (electric locking rear diff) off. If careful and slightly down hill you could start and move, and build momentum. If dead flat or slightly up hill only spin. If side hill would either spin or move based on if there was any up down grade to go with the side hill, either way would stay facing the same direction.
2. 2wd eld on. If down hill would start a little easier than no lock. Up hill would still only spin. If side hill rear tires would immediately seek the down hill direction.
3. 4wd (I used low just to completely eliminate tc). If careful it would start and track without spinning with or without eld on. If you hammered it, it would spin, and move straight without eld, and with eld it would bite better, but the rear would point down hill.
I have an 03 lariat as well, with limited slip and real tires, no drivers assist except abs.
I would have filmed the test but leadership was un-excited about holding the camera when it was cold, watching me try to brake the truck.
Definitive opinions:
1. Lockers have a limited use case, split mui (one side of boat ramp wet, dropped both right wheels in a muddy ditch) or drag racing. For people that didn't grow up driving rear wheel drive cars/trucks, it is probably a liability.
2. Drivers assist "stuff" stability control, traction control, anti lock breaks are probably a strong positive with a few exceptions, ya ought to be able to turn the darn stuff off when you want to do donuts though

IF for some reason I was going to let leadership drive on bad roads, it would be the 14 and not the 03.
Best,
ed