Actually, I was informed that the French whip up the egg whites and gently fold in the eggs. I suppose that depends on what part of France. I was only ever in Marseilles and NEVER had an omelette there. It may also depend on whom you ask.
For the record, I typically fix my omelettes the lazy man's way, too. (The same way the Navy and many other places did them) I have, on several occasions, whipped the egg whites, folded in the yolks and added in my favorite ingredients after the egg batter was in the pan.