I can definitely believe what the description in the youtube video says. Even if it looks dry, or it's dry enough to not have to use wipers the road can still be pretty greasy. In the video you can hear the guy mash it and you can hear the revs jump up (sounds like he bounces off the limiter) as if he loses traction.
With respect to how the car reacts I can say that I experienced the vary same thing last week while driving home from work. I was on a straight section of country highway. The road was slick, we had a bit of snow and it got packed down hard and there hadn't been any salt or sand put down. I wanted to test the traction conditions of the road, so when there was no on coming traffic I stepped on it (I was in 4th going about 70km/h). When my wheels started to lose traction the left wheel hooked more than the right wheel and it pushed me into the oncoming lane. I've tried it a few more times since then in a few different conditions and quite often the car seems to want to pitch in that direction whenever it starts losing traction. I'm not exactly sure of the reason for it, but it might have something to do with how the LSD initially reacts