Although I started rallying in Minis in 1961 (yes, really!), and have used everything up to very full-on Cooper 'S's, I have never been able to get to grips (lol) with any sort of LSD. I have tried many, but I always struggle to go quickly on gravel or on twisty tarmac.
It's not only me though. My very good friend, the late Russell Brookes, was persuaded to do the RAC Rally in the 1990's in a Cooper 1275 which had an LSD. He reckoned it cost him many minutes due to its unpredictability on gravel. He said the car did not feel like a Mini at all, at least not like the rally Minis he drove at the beginning of his career.
My son did an International Historic rally in Belgium as co-driver in a Mk.1 1275 S fitted with an LSD. They entered a tightening left hander a bit to quickly and the front outside wheel went onto the grass. The driver fed in full power, but the wheel on the tarmac, i.e. the inside wheel, gripped then road and the car shot off to the right and into a ditch - rally over. Speaking with my son later, he said that if we had been in my car at the same speed in the same corner, when I had realised I was going a bit too fast I would have lifted off then as a bit of oversteer started I would have added full power and the outside wheel would have spun-up on the grass and keft 'the front in front' and the car out of the ditch.
It was always considered the case that LSD's were for racing/hill climbing/sprints, etc.
However, and there is a big however, modern rallying does not use the old technique of keeping th car a bit 'fluid'. With very comprehensive pace notes the cars go less sideways and 'racing' lines are more the way to go. Especially on tarmac with these full notes, an LSD may well give slightly better times, but that's fine until a small mistake is made when right on the limit, then it can easily go 'pear shaped'.
I always use a cross-pin diff for reliability and find that the car drives and handles in a very friendly way on all surfaces.
I hope this rather long post is helpful.