Here's a good video with various tire(s) having traction compared to an Audi Quattro. The last ones show only one tire with any grip.
While the system is good at putting power to the tire that needs it, eventually, it is slower than I expect given it’s design. Drive the car hard with the stock tires on snow and ice and you immediately see the shortcomings. Getting stuck is not really a concern for me, that just about never happens. However, the vehicle being stable and controlled is a high priority for winter driving, and I don’t feel the AWD system offers that much of that. Electronic systems are great when they’re implemented very well, but Model 3 is sluggish at pulling power out of an axle that’s slipping, and it’s even slower at putting power to the other axle that’s currently sitting idle. The car does this weird wiggle when you hammer the throttle around a corner with low traction. Power surges front to back, it’s kinda strange. In a straight line this is mostly fine, and it’s a technically competent system. But I still find it a bit annoying. When you give the car enough feedback, it works brilliantly. The driving dynamics with the stock tires on wet roads I think are brilliant. But on snow and ice there’s just so little resistance, the tires light right up before the car catches it. If you’re cornering while this happens, the car slides way more than I’m accustomed to with modern stability control. And of course you can’t turn any of these systems off, or force a full time 4WD with even power split, which would be stellar.