LSDs keep torque split at 50/50, when traction is not equal it will try to split the torque towards the tire with the most traction.
This is incorrect. The whole point of a limited slip differential is to allow the transfer of torque to the wheels with more traction. If the torque split is always 50/50, you are not transferring it. With a limited slip differential, the amount of torque that can be trasferred is limited only by the ability of the LSD mechanism to "lock up".
In the case of the viscous coupling on a WRX, the center diff is just a 50/50 open differential with a viscous coupling backing it up to provide torque transfer. Since it's a viscous coupling, the amount of torque it can transfer is limited and is also a function of axle speed difference (i.e. if both front and rear are going the same speed, 0 torque is transferred from the normal 50/50 distribution). In the case of the STi, the center diff is a 35f/65r torque bias plus an electro-hydrailically actuated clutchpack that is capable of providing a large amount of lockup.
Now, what is the actual torque split with LSD engaged? That is a very complex question but the short answer is that it can vary basically from 0:100 all the way to 100:0. Lets look at a couple examples:
DCCD varies the slip limiting, which in turn varies the amount of torque that can be redistributed via the center diff. The native torque bias of the planetary gearset in the diff is 35f/65r (04 and 05) and 41f/59r (06+), and the only time you can really be sure exactly what the torque bias is would be when the DCCD is set to full OPEN, meaning no slip limiting and no torque transfer (note: the 06+ has an additional mechanical LSD in the center diff that cannot be turned off).
Electronic[edit]
An electronic limited-slip differential will typically have a planetary or bevel gear set similar to that of an open differential and a clutch pack similar to that in a torque sensitive or gerotor pump based differential. In the electronic unit the clamping force on the clutch is controlled externally by a computer or other controller. This allows the control of the differential’s limiting torque, Trq d , to be controlled as part of a total chassis management system. An example of this type of differential is Subaru’s DCCD used in the 2011 Subaru WRX STi.[