Wow, this is an old post! I edited the original posts to update the information. Anyway:
Yes, ASD has LSD (with 35% lockup at all times) at the core. The hydraulics simply exert pressure on the LSD clutch pack to make the lockup 100%, up to 19mph, at which point the hydrualics release. As the clutch pack wears out, the lockup percentage will reduce. The FSM procedure shows testing it with a torque wrench on a lift, with ASD engaged manually, the torque needed to turn one wheel separate from the other should be at least 100Nm higher than when ASD is not engaged.
I found a factory brochure which details the functionality of both ASD and ASR, I will scan that and upload it to my website. It does a better job of explaining how it all works than I could.