You have zero idea what you're talking about. Those videos do not represent what most people want in their AWD. They want to climb the hill from the cottage, get to the ski hill safely and not get stuck in a parking lot. In these scenarios slip and grip are vastly superior to FWD.
those videos don't show FWD vs AWD, but they do show the advantage of what makes a Subaru AWD system different from the competition, which was really my point about showing them (as my comment about get a Subie if you truly want AWD)...of all the things you mention, i have never had any issues getting stuck in my 24 years of driving in a variety of FWD and RWD vehicles...none...never stuck, never wiped out off the road, never...you are better off driving properly within the road conditions and using a quality set of winter tires than justifying a slip and grip system as a "safety net"...if you want an AWD vehicle, by all means, get one...if you really need an AWD vehicle, get a Subie...otherwise, slip and grip is marginally better than a FWD vehicle...the purpose is to NOT slip in the first place, hence my comments about driving within conditions and proper tires...nothing makes me roll my eyes more in the winter time than seeing idiots driving down the roads in big SUV (often Tahoes, etc) thinking they are invincible, only to often see the accident photos in the papers where they either went off the road and rolled, or lost control and hit another car causing serious injury and damage.
it's kind of funny how in the decades past, we seemed to get along just fine without AWD...then, marketing departments at the auto companies went into high gear convincing us how much we need it...you can be sure those higher trim AWD models do wonders to increase the margins for auto companies both in selling price and ongoing service/maintenance as well as increased weight and fuel consumption...look, if you feel you need an AWD vehicle, that is fine, that's your choice...but i can assure you a slip and grip system is marginally more than a marketing gimmick to get more money out of you...there are very few AWD systems that are actually very good, with Subaru's being the only one from an affordable brand (the new Magna system used in the new Kia Sportage is also similar in terms of how it works, albeit not a symetrical driveline like Subaru's).