Not as many people cook with a thermometer as should... the big problem is egg whites start to coagulate around 65 or so. Your fried egg is not safe unless its frankly somewhat overcooked. If its runny, you're totally rolling the dice. I do not eat eggs, especially at restaurants, I'm tired of food poisoning (which hardly happens every time, or even occasionally, but since fried eggs are greasy and rubbery and gross and the only thing worse than fried eggs is food poisoning symptoms, I don't mind not eating them anymore). In baked goods I don't mind even though unrisen cookie dough is full of raw egg.
Its too bad because from a technical standpoint I think sous vide "hard boiled" eggs would be very interesting, but not interesting enough to risk food poisoning.