Maybe you could edify some of us laymen, I think of Haldex, as a clutch pack in front of the rear diff, they were first just hydraulic, but now use more electronics to engage faster, and engages the pinion on the rear diff, (which may or may not have lsd) and most of the time is FWD, with little RWD bias, they used to be completely reactive. (illustration on far right for example)
Quatro in my limited understanding is just a mechanical torsen center diff, usually right in front of the prop shaft which may or may not be equipped with a LSD in the rear diff or front. It can be weighted slightly, and is typically RWD biased a bit.
Complicating the comparison a bit, is that any front or rear diff could have mechanical or electrical LSD, brake Anti spin, or torque vectoring added to the rear differential.
The Stelvio and BMW 5 is more like the center image below, and can be 100% rear biased, until the TC is engaged.
Here's a pic of our transfer case for reference.