My point is clear if just consider a little of how snow tires work: The main point is the big bumps in the tread. These big bumps permit spinning drive wheels

My point is clear if just consider a little of how snow tires work: The main point is the big bumps in the tread. These big bumps permit spinning drive wheels to dig down in the snow to find some traction, maybe the hard surface below. This digging down has the bumps grab a lot of snow and throw it back and out of the way and let the tires get down, through the snow into some traction. Ordinary tires just spin and throw far too little snow. Works great. 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.