ToyotaDan,
That is a good question. Remember, we're talking about a center differential, not a rear diff. Therefore, the "parking brake trick" would NOT work on a center diff. But, the concept of this ONE weakness of Torsen diff applies anywhere.
The solution to your problem is...LOCK THE CENTER DIFFERENTIAL when off-roading.
The Torsen T-3 is your center diff. So, in theory, if let's say your rear axle is immersed in mud while your front axle is on dry land. The rear axle has no traction whatsoever over both rear wheels. (Remember, ATRAC only works left and right...it does NOT transfer power front and rear....in this case, since both rear wheels are spinning/slipping equally in mud, ATRAC will not do much in the rear.) In THIS case, the Torsen CENTER diff will send power to the rear axle due to what you read above (power gets routed to the axle with zero traction/friction). This is a rare situation while off-roading. However, this is yet another reason to lock the center differential while off-roading. When you lock the center diff, you overcome this deficiency of the Torsen by forcing power to go equally to the front and rear axles.
Why do you need to lock the center differential (CDL) beyond what i said above:
1: ATRAC requires a certain minimal wheel rotation speed to work. If you are moving very slowly, it won't do much. Backing slowly down a steep hill is one scenario where ATRAC does not work well.
2: If you have an electrical failure that takes out the system, or take a stick in a wheel sensor harness, you are stuck. With a CDL you can regain much of the lost traction.
3: If you break a driveshaft U joint, you are stuck - your rig will go nowhere under its own power. With CDL you can lock the center diff, remove the offending shaft, and attempt to drive out of the woods.
4: If you want to add limited slip or locking diffs in the axles for improved low speed traction (see #1) then they won't be effective without a CDL.
5: ATRAC is hard on the brakes and the differential spider gears. A CDL helps by reducing the workload on the ATRAC.