It seems like any amount of snow that would impede biking would be more than enough that you couldn’t push it back to the street with a bike. (We used to run a private plow truck and it would use a surprising amount of fuel in a 10-hour day of plowing.)
Yeah, probably true. But the concern often isn't the snow itself, it's when it later freezes. Then it's too late to plow it, and the rugged and uneven slippery surface is impossible to bike on.