How to make omelettes extremely quickly
I can't say much for how professionals would do this, but I have found just about the quickest omelette is the Julia Child (French) version of one.

By her method, you cook the eggs (mixed with just a bit of water) over fairly high heat in a bit of melted butter, shaking the pan the whole time. At the end, you jerk the pan to get the eggs to roll up on themselves. 

See a video here. It takes her about 30 seconds.