I love omelettes! I like ham, bacon, or sausage, and onions, bell peppers, potatoes and cheese. I think a white omelette is an omelette made only with egg whites but you can have whatever add ons that you want. I've never had an egg white omelette. I know they are healthier but they sound so boring.
I like ham, onion and peppers in my omelette. then we put it between two slices of bread with mustard. ITs great that way. Never heard of a white omlette.