Yeah I agree the most sure way is to see where the split is in the carrier. But even rooted lsd's should spin the opposite wheel. It doesn't take much friction in the cones to do it. worth checking though, because a diff oil change never hurts in an old Commodore!
a truely rooted lsd will simply act like a single legger, when there's nothing left to hold it back once it's flogged out (granted the design has been around for 50+ years, doesn't meant it's the best) it'll just act like a single legger....
With the BT1's in HWP when in service one vehicle was usually assigned to two blokes who drove it the majority of the time. Rosters pending of course. Even though they were driven hard they were always well looked after, serviced regularly, and any issues quickly identified as they didn't want to be going off the road at 200km/h.
All good n well, but the auto trans i have sitting under the bench tells a different story, apparently it only had problems in 2nd, the accumulator springs are broken, some clutches are missing teeth and the reaction assembly was in.... hell i can't count that high... millions of pieces if what i found in the pan were anything to go by.... lol, was removed from a 304 bt1, simply if it has a BT1 mark on the compliance plate it's been thrashed... even though they get retired and auctioned off doesn't mean every tom, tard and wanker don't buy em and flog the **** out of them thinking they have a "cop" doritos in the boot that gives them more HP....