I'm looking at snowed in to mean you can't get outside of your house and literally can't get anywhere if you can manage that part.
There have been plenty of times, even here in the city I live in, where the buses have stopped running at all, or have stopped at the main road and turned around (national road 2.5km away). So I tend to wear hiking boots and snow gear into work whenever such weather is threatened from bitter experience, so I can get down, up and down again on the hills from the main road to home. I've been known to park my car in the village at the bottom of the first hill in the morning just in case, so I can get groceries and drive the last part in the evening (I have snow socks for the tyres and they are great).
I've dug out the driveway plenty of times to be able to get the car out, and the cul de sac a few times (sometimes alone, often there are a few neighbours doing it together).
School and work have been closed a few times over the years (I mentioned a week off in primary already, and DD has had a few times when her school have closed). But DD's school also had a "snow team" of parents organised - we'd go in early in the morning (7.30am), shovel out the paths and salt them, and school would have a 1 hour delay starting (9.30am) but would happen. Which the kids hated when most of their friends were off for days on end and they had to go in - but they also had a lot of fun with it rather than being bored at home. And us parents always enjoyed a quick hot coffee from the staffroom to defrost at the end of our efforts before heading to work.