Well, this is all news to me. I have never heard of anyone flipping an omelette. Sounds far too much like hard work. I love omelettes, in part because they are so easy, so much as the flipping technique sounds intriguing, it also seems to defeat the object for me.
My method is real eggs (two for one person or three for two people, my usual pan is not big enough to make larger omelettes), a tablespoon of milk and black pepper. Mix with a fork to break up the eggs and incorporate the milk. Do not whisk a lot of air in. The milk seems to help to loosen the eggs and gives you a bit of a runny middle to the finished omelette. Just the way I like them.
Also, my omelettes turn out much better when fried in butter, not oil. Oil seems to give them a leathery texture on the cooked side that you don't get with butter. My omelette pan has a heavy base and rounded sides, is non-stick and only 6 inches across at the base.
To give the finished omelette a nice ruffled look that is part yellow and part golden brown, I fry the omelette very briefly until it is just beginning to set at the edges. Then I take a wooden spatula and gather the edge in towards the centre while tilting the pan to allow the runny mixture to cover the exposed bit of the pan base. I do this around the entire edge.
I like my omelettes a bit gooey, so it's not long before I can slide it out onto a plate, folding the top half onto the bottom half as it emerges from the pan using the same method as gadzooks.
My favourite is cheese omelette. I add grated emmenthal just before I start gathering in the edge to the centre.