Well, snow can certainly help you see where they are moving at the present time. They will likely bed out the storm, but they need to eat as much as they can during the winter. Deep snow or crusted snow cuts their options. Winter often sees them bedding out of the wind if possible, and on south facing slopes if possible. Getting whatever warmth they can.
Find some good trails and sit downwind.
12" of snow will NOT keep the deer from moving around. When you start getting multiple feet of snow, it causes issues, that they deal with in different ways in different places, from migration, to yarding, to, well, not making it.
ChuckC