Usually it does...I prefer to have my car cover on during snow storms. Then I just lift the snow off, and have a perfectly clean car ready in the driveway!
Raindrops can't hold on to my car, but snow must have a little more grip on the paint (horizontal surfaces) cuz it doesn't usually slide off as quickly as raindrops do. After 5 minutes at 55+ though, the majority of it has slid off.
On vertical areas, the snow will almost never stick to my car...the only exception being a windy snowstorm where my car is slowly enveloped by a snowdrift.