I never had a problem with traction with an lsd that comes stock in some gen1's, especially if you preload the action of the lsd with a couple of clicks of ebrake. You can tighten it up further if you don't use lsd diff lube additive, because it makes the clutches in the lsd grippier. This can cause minor problems in a swb with an lsd, because they tend to judder around tight corners on pavement because the lsd is a touch too aggressive.

Not responsible for advice not taken...