Hmmm....
From what I understand and have experienced with my 2011 LE, the LSD functionality doesn't turn off with the VDC mode disengaged.
All VDC does is cut engine power and help prevent a spinning tire to cause a spin-out while on the road.
Every time I'm off-road, I disengage the VDC while in 4HI and have no slipping issues. If one wheel slips the other side will grab above 3000 rpm.
And yes in 4LO VDC is automatically turned off because you would never drive on the road or at least a dry surface with it engaged. Therefore never needing to throttle back. (Besides 4LO is almost too low to spin anything anyway.
Addressing the original post:
Tire type and pressure could have caused the problem.
A road tire inflated to a high pressure would have a small contact zone and therefore all your tires could have been spinning. (one front and one back one)
I know with sand it can be tricky at low speeds. 4LO may have been too low to actually grab and get you out quickly.
First rule of off-roading ->Always better to put it in 4 wheel drive BEFORE you get stuck. If you anticipate a problem, pop that bad boy in 4HI and she'll get you through most anything!
Hope that helps!
