I think this explains it best. the tire with the weight on it gets deformed, the radius is slightly shorter and because of that, the tire makes the same revolution as the non deformed one but does not go the same length on the road. so the tire "squirms" and slips just a little bit. no big deal on surfaces that can allow that tire to slip it doesnt bother the transfer case that much. but on dry pavement, that 1/4" to 1/2" of slippage is much harder to do and the tire will grip better and be harder to slip (you might even hear it chirp a bit) and cause it to put a lot of stress on the transfer case, which wants to output the same speed for both axles. each time that tire chirps or slips, it is like putting a hammer to the drive line. as you speed up, that 1/2" slippage will absolutely pound the driveshafts and gears in the transfer case, until something breaks. If you are lucky, it will be your hub or a u-joint.
AJ