I've also ridden in deep snow, but at anything over 4-5" my pedals drop into the snow, and since the pedal is moving forward even at 6 o'clock (the bike is going forward faster than the pedal is going backward) I end up snowplowing with my feet with every stroke, scooping up snow and pushing it to my ankles where it gets my socks wet.

So while I still ride in snow, I don't do it as much as I did decades ago, and now reserve that kind of thing mostly to frozen lakes.