The one glimmer of hope that I have is that I am literally incapable of driving in the snow without substantial software assistance, and that's true for literally every other human I know.
Just like people could learn how to drive a stick shift.
But most people (at least in the US) don't know how to drive in a stick shift or how to navigate snow without ABS and TCS.
...northern Wisconsin gets its fair share of snow.
> ABS is usually the only thing they have
I think you've just agreed with me. ABS and TCS are exactly the systems I was referring to, and most of today's drivers have never encountered a car that doesn't at least have ABS.
I've driven a car without ABS or TCS in the snow. It's extremely difficult. Kind of similar to driving a stick shift for the first time. The idea is simple, but getting it into muscle memory enough that you're not constantly making mistakes is non-trivial.
It's not that bad. You just dial back your risk taking to reflect the situation.
Finding #1: The main benefit of winter tires is improved tire adhesion, braking and cornering performance–not acceleration performance.
Finding #2: Winter tires provide improved traction on roads that are below 7 °C (45 °F) even when snow and ice are not present.
Finding #3: Stopping-distance performance of winter tires on packed snow is typically about 35% shorter than all-season tires and 50% shorter than summer tires.
Moreover, I was implicitly assuming that the stopping would be on snow, and not packed snow but, say, just snow as it fell although maybe a minute ago to several days ago.
For stopping on wet or slushy streets or just, say, 1-2 inches of snow, then, sure, "winter tires" not only help stopping but likely are better than snow tires.
But when my driveway has 8" of fresh snow, to get out I need snow tires, tire chains, or a tractor to pull me out. Then in stopping, say, from 30 MPH in such snow, nothing helps much except tire chains and there are questions about those.
Again, what is good about snow tires is that the big bumps on the tread let the tire, when it is spinning trying to drive the car, dig into the snow, kick it backwards out of the way, and let the rubber meet the road. For that, the aggressive tread, with the bumps, is essential. But the bumps work because the tire is spinning and digging, and that action won't work for stopping unless, say, going forward with, somehow, the drive wheels spinning in reverse.
The advantages of "winter tires" are how the tread cuts through water and thin layers of snow and has softer rubber with a better coefficient of friction when the rubber does meet the road.
But in stopping, there is no such "spinning" or "digging". Instead, all the snow tires can do is roll or slide.
So, snow tires help a lot in going but not much in stopping.
Typically get into winter car wrecks from not stopping, not from not going.
So, once snow tires have you going, be darned careful about stopping -- the risk is not stopping, and snow tires aren't much help because the lugs don't get a chance to dig and throw snow.
That's not how snow tires work. Not at all. Independent of the design. And no, they don't 'stop' the way you describe either.