Hmm, I found this on the Details page about the said winch:
Warning: Synthetic rope cannot be used on this off-road winch. Synthetic rope can only be used on winches with steel drums designed specifically to withstand the rigorous forces created-by synthetic rope; for example the Superwinch Terra Series, the Danny O'Day S4000, the S4000SR or the Talon Series. In addtion, the heat generated by the brake which is located inside the Tiger Shark drum exceeds the heat limitations of Dyneema synthetic rope. Many of our competitors will sell you a winch with a similar brake in drum setup with aftermarket synthetic rope and will not warn you of the damage which may occur to the winch, rope, vehicle or injury to the winch operator.