Your last line, oh yeah, big problems.
A job that normally doesn't require staying there for the weekend is going to run into problems coercing employees to sleep on a bare floor.
Frankly, it's always my call. If I judge leaving home too risky to me, I won't go. I'd rather lose the job than lose my life.
We got freezing rain ahead of the snow this past weekend. I don't leave home in ice, I live up the hill and if unable to stop at the bottom of my street, terrible things could happen. Once I make it to that road, more dangers - hills and curves and no shoulders, only downward trajectory if you leave the road. I have yet to hold a job worth risking my life.
Snow only? I have no problem in up to 6" with my sedan. I would agree that essential personnel, if required to be onsite, should be fetched at company expense. No way I'm going to rent a massive vehicle to go to work for extra hours and zero appreciation, only condescension. Further, anyone scared to drive in snow should not be on the road. They are a hazard to everyone.