It's not snow, etc. that gives ATSC problems - it's multipath. At our house in WA, the problem is wind blowing through the trees that surround our property. When the air is still, ATSC reception is perfect. But when there's even a little breeze that makes the branches move back and forth, ATSC becomes useless, pixellating and disappearing (blue screen) for seconds at a time. Meanwhile, the analog picture gets a slight amount of ghosting - not enough to be objectionable, hardly noticeable unless you're looking closely.
Same thing happens if you're in a city near the flight path for an airport - as the airplanes go overhead you'll get some ghosting flutter on the analog signal as it's reflected off of the airplane. That's enough to kill the ATSC signal. Or in a moving vehicle as you get reflections off of passing objects.