I don't know that I'd go this far to NOT add any. You should see if your limited slip even works, get on some gravel and peel out. If it does work, then the additive included in modern synthetic fluids is plenty fine. If you go for regular oil, I'd suggest adding a bottle of the additive. My clutches have never been replaced and laid 2 long tracks nicely in snow with 80W-90 and a bottle of additive.
Yes, the additive helps slip more, that's why I ignored the advice to add a bottle in addition to the additive included in the synthetic oil. But, as with many things, there's a balance. You don't want it locking up and chattering around corners on pavement. That'll put unnecessary bind on the axle and clutches, wearing them out quicker. Too much slip though and it might not lock up when you need it. I've put a few hundred miles on since changing to Mobil 1 synthetic without additional additives and haven't heard a peep from the rear.