Just realized I missed an aspect of this post. My apologies.
For the VAST majority of people, getting stuck in a situation where AWD would help is VERY unlikely, and the potential consequences are almost always manageable. So, for most people, it doesn't make sense to incur a lot of extra cost to avoid it. It's also pretty unlikely that a person will crash due to an inability to stop or turn, but the potential consequences are much worse. Plus, the way to address stopping and turning -- winter tires -- also happens to reduce the likelihood of getting stuck anyway. So, again for most people, turning and stopping makes much more sense to focus on.
If you can't afford the possibility of staying home even for one day, then the consequences of getting stuck are much worse than they are for most people. Similarly, if you live where there are a lot of hills and a lot of ice and/or tons of snow accumulation, then the likelihood of getting stuck is much higher than it is for most people, and the consequences might be less manageable as well because the only alternative would be staying cooped up in your home for weeks or months at a time. Those are cases where it makes sense to focus on the risk of getting stuck. But even that doesn't support the argument that AWD is preferable to winter tires because a person in that situation should really have both. It also doesn't cover the vast majority of drivers, if we're honest.
This, I very much agree with. In situations where a driver feels that AWD is necessary, good winter tires are usually the better first step. Too many people (around here at least) believe AWD is the end all, be all for winter driving, when few actually NEED AWD and would be better served with good tires.
But it's nonsense to suggest that a winter tire provides better traction than AWD, unless we're strictly talking lateral grip, braking and the other fundamentals aside from acceleration.