It's well known that speeding decreases your travel time linearly but increases your braking distance by far more than that. Generally if you double your speed, you quadruple your braking distance but only half your arrival time.
So no, it's not "rational" skepticism to avoid something uncomfortable, and yes, it has everything to do with traffic safety. Maybe you missed the part of the article where the person prone to speeding tickets got arrested following an accident? It didn't say she was speeding at the time, but speeding doesn't help avoid an accident at all.