I agree. This happened to a girlfriend's car, oh, 10 yrs ago. We were driving from Dallas to Washington DC when the starter failed at a roadside stand in Tennessee on New Years' Eve in 30 degree weather. It had stuck before, but usually a good whack with the maglite would unstick it. Fortunately, I had one of them newfangled bag phones borrowed from work and was able to get an wrecker to tow us to Chatanoooga, 100 miles away. It took a cold few hours for the tow truck to get to us

This is one of the events that got me interested in this whole emergency preparedness subject.