During a storm, drivers tend to drive a lot more carefully, but when the weather is good, people take more risks. It's true that in winter you should keep your distance. Thanks to my anti-lock brakes, I can brake without danger, which isn't the case with traditional brakes. The nature of anti-lock brakes means that stopping distances may be longer than with traditional brakes. Nothing beats a nice wide tire for driving in snow.
Wide tires tend to float on top of the snow, unlike narrow tires, which provide a better grip.
It's obvious that accidents happen for different reasons in winter and summer. Statistics show that, both summer and winter, carelessness and excessive speed are the number one causes of accidents.