Biking in fresh snow isn't too bad (relatively speaking) as long as it's not icy and you don't turn too sharply. It's snow that everybody's already walked in that's really hard to bike on, because it's packed really unevenly and shifts a lot, on top of being slippery.
It is when the snow covers most of your wheels. On top of the ice and the hail banging in your face for 15 minutes every hour or so.
"Elephant trunks should be used for elephant things only. Nothing else."