As haywire said, if you live where it snows, you drive regardless of whether or not you can see the road. I got a job to do, computers don't fix themselves, and my job is necessary even if the weather sucks outside.
While I think it's plausible to teach a self-driving car to drive in snow (like I do, generally following in the tracks of the cars ahead of me), I honestly think this is one of the best justifications that cars should continue to have steering wheels and pedals: Because automated snow driving is going to take a lot longer to become a solved problem than fair weather driving.