What are the operational/performance differences between the Aussie and the TT?
The Aussie is a locker, TT a limited slip. A locker locks its mechanism together with teeth and spring tension. The teeth stay engaged due to pressure being placed upon them (on the gas) but can release when off the gas. When turning off the gas, or light on the gas, the difference in wheel speed will overcome the spring tension and push away the side gear which will allow for the outside tire to rotate at a different speed. Back on the gas and it "pops" back into gear and you are locked again. That is what all the popping is about when you mention lockers.
The TT is a bias torque limited slip meaning it sends more torque to the wheel with more traction. The TL uses pre-loaded clutches so the power is equally distributed but it is fairly weak so depending on available traction, you may end up with traction to one wheel and none to the other as opposed to the TT which will apply more torque (via the worm gears and its torque bias design) to the wheel that has more traction. Both can deliver 100% power but both require two wheels on the ground to do so. Like Jerry stated, wheel in the air and the TT, and TL, will lose its effectiveness. Clear as mud?
