Yes, even after the snow is gone, I would urge everyone to drive as safely as possible. In case of an accident losing your favorite car is not the worst thing that could happen but it is terribly depressing. I know, I just wrecked mine a week ago (and it was out of my control, a bus ran a red light). Besides losing your car you dont wanna have to deal with lawyers, doctors, chiropractors, insurance agents, etc., it is very stressful not to mention the fear you will experience the next time you get behind the steering wheel after the accident.
Its not you that you have to worry about but its other people that you need to watch, so please be careful and avoid possible accidents. Be safe!