Oh boy ....
"Limited Slip Differential" additive is generally a friction reducer intended for clutch-type (prealoaded plate) differentials. Its purpose is to reduce "chatter".
Torsens do not need, and do not benefit from, "Limited Slip Differential" additives.
I have TONS and tons and tons of respect and admiration for the inventor of the Torsen, Vernon Gleasman (RIP ...http://members.rennl...s84gleason.html) from my own Cleveland OH. I wish I had come up with it, believe me. But - despite Internet claims that Torsens never "wear out" and that they can run "almost any fluid", this is simply not true re: the former, and especially not applicable re: the latter, for those trying to get a 16+ year old/ 100K+ mile old/14+ race season old Miata around Mid Ohio's Keyhole or over Road America's "shock absorber durability curbs" with minimal or zero wheelspin.
Many OEMs made sure to specify a fluid WITHOUT "LSD additive" for their Torsens and Torsen-like LSDs. I have lost the knack for uploading images here easily, but I'll edit this post when I can find my favorite example of an OEM spec for a Torsen LSD ...
Update:
Note link below ... "do not use special LSD oil"
http://mkiv.com/spec...cf93/ncf158.jpg
Like your manual transmission's synchros, the Torsen NEEDS friction to do it's job. The last thing you want is the "slipperiest" fluid on the planet. What you want is a hypoid gear oil to keep the gears happy, a low viscocity oil so that you can make 0.3 HP more so that you can finish 7th instead of 8th at the Smitty McSmitterson Memorial Regional, and a friction coefficient that maximizes your Torque Bias Ratio (Torsen) or synchro effectiveness (manual trans).