I was driving my 2WD out in the desert this weekend. One thing I noticed while blasting along deep sandy roads (trying to keep from getting stuck) is that the X would plough the front wheels straight ahead when I turned into a corner. Once I learnt to momentarily back-off the gas pedal the front wheels would immediately hook up again in the direction they were pointed.

Under these conditions the axle was locked up and therefore the vehicle resisted turning. Dropping the power momentarily relaxes the LSD clutches enough to allow sufficient diff action to initiate the turn.