I grew up in Iowa, so I've had my fair share of snow. Moved down to Fort Worth TX 2-3 years ago. Had a snow/ice storm at that time and schools and business shut down. My workplace said it was optional to come in so I asked if anyone came in, and of course there were a few people who came in. Being from the midwest, I couldn't let some Texans show me up in a snow/ice storm

I had stock tires at the time and while driving in 4HI to work, at a very slow speed, I passed a bunch of trucks in the ditches. I did slide at some turns, but I took them too fast for the road conditions at the time. There was a steep hill I was worried about because it's one of those hills that once you reach the apex, you can't really see what's in front of you because it drops right away. Got a good steady controlled speed going and the stock tires did wonderful, no slipping backwards or anything. Another steep hill that I was not too worried about turned out to be backed up with cars struggling to get up top. I hopped the curb and drove on the snow covered grass (approximately 3-4 inches of snow) and passed the line of cars waiting for their turn to attempt the hill.
Now, as others have mentioned, compare snow tires to stock tires, the stock tires will definitely suck. But if you know how to drive in the snow (slow and steady), and know how to avoid other drivers who don't know how to drive in the snow, then eventually you'll get where you will NEED to be. Best advice I got from someone (I think he was a snow plow driver) was don't go out unless you NEED to.
I have GY Duratracs now and currently back in IA, and I can say they are way better than stock tires. But I have noticed I drove more recklessly with Duratracs, almost in a cocky-manner. Normally I would avoid small snow drifts or at least slow down for them. But one time I didn't and the 4R shifted to the left, luckily no one was next to me. Since then I pretend I don't have Duratracs and drive like I have stock tires.
Long story short, even after a snow/ice storm, stock tires got me to my destination by driving in 4HI, and driving slowly and steadily.