Does the auto mode use anything like the explorer advance track to divvy up power? One thing I loved on our explorer platinum was the AWD system. We had 18" of snow a month or so ago and that truck did killer! The hill below me is a doozy. I could not get up it in my 2006 4Runner which is normally VERY GOOD! The Explorer had trouble at first, but when I disabled traction control, it allowed it to rev up and slowly rip through it all the way up! It was pretty awesome. The AWD was working hard, you could hear it in the truck activating the brakes and such. I was the only person that got up it for 3 days!!!
Yes, auto mode will divy up power between front and rear axles on the fly. However, what allowed the expedition to ascend the hill where the 4Runner had trouble (assuming the 4Runner had 4wd) was NOT the 4wd mode. It was the simulated locking rear differential. With an open ("unlimited slip) front or rear differential, when a wheel starts to slip, ALL the power sent to that axle will be applied to the wheel that's slipping. So if one wheel on each axle is slipping, the truck ends up using all its power to simply spin those two wheels. Your Ford engineers, however, got a little smarter. They used the wheel spin sensors (part of the anti-lock braking system) to detect the wheel spin and then applied the brake to the spinning wheel, which transfers torque back to the wheel on the other side of the axle which still had traction.
The only advantage 4H would have offered over 4A in that situation is that your 4A system constantly adjusts the torque split between the front and rear axles while in 4H the differential is locked and the torque split is constant (at whatever front/rear torque split ratio the engineers designed it). So with 4A, when the system senses wheel slippage on one axle, it will apply more torque the axle where the wheels still have traction. Sounds great, except in very slippery conditions, some systems will transfer a bit too much torque a bit too quickly and spin the wheels which did have traction. This torque transfer hits the wheels very much like stomping on the gas, which every young driver learns not to do in the snow and on ice.