Is cornering in snow any different?
It's different insofar as walking on ice is different from walking on concrete. Traction is reduced anywhere from somewhat to greatly. It takes a much smaller change in direction, much smaller amount of braking, and much shallower lean angle in a turn to cause you to break traction. In terms of the physics and techniques involved, they're the same, though mountain bike techniques come in handy as you are likely to spend much more of your time without traction compared to typical riding on paved surfaces.