Yes, I can attest to the fact that it will leave 2 black streaks about 20 feet long if you mash the pedal from a dead stop in a straight line. I think it has something to do with it having equal length half shafts.
If you brake torque spin, like in a burn out, only one will spin though. Same as when you are making a left or right hand turn. I have always thought that an LSD might be dangerous in this situation because the car would oversteer like crazy.
How does the GTP react to turns with its LSD, when the wheels are spinning, Shawn?

Since it is a LSD, it is a LIMITED slip differential, so it is still clutch based, it just takes a LOT more force to let only 1 wheel spin, but 1 wheel will spin in the correct situations, although they are very rare, and I have never heard of only getting a 1 wheel mark if the car is moving. It unlocks in the curves from the weight of the car so it feels like stock still, but because of this, sometimes we get only 1 wheeled burnouts, but if we let off the gas a little the other wheel will start spinning and then we can get back in the gas. The only time it makes a difference is straight line and burnouts because both of the tires spin, but it also helps decrease the torque steer you get from about 0-40. A Quaife on the other hand is a Torque Biasing Differential, and makes a big difference in turns, and will always give 2 wheeled burnouts. But it also costs twice as much as the others, but some owners complain about excessive wheel hop, and it obviously is much harder in the turns then a diff. that is clutch based, but from what I have heard, it makes it feel like it has more power in the turns, and doesn't hurt handling or anything, but I wouldn't know personally.

Hope this helps.

Shawn