Lance Armstrong does not need to know how to fix a flat. He can afford to have a mechanic in a car behind him.
It is quicker and easier to just replace the tube than to try to find a hole in a tube on the side of the road. Wait until you get home to find the hole in the tube. The only time you should patch a tube on the road is when you have multiple flats and run out of spare tubes.
You state that there are 12 steps to fixing a flat. You didn't count them all and I lost count halfway through. If you are not going to number them all (a bad idea unless there are only a few steps), then just state that there are several main steps and list those. Don't count every minor step.
"Flats happen once in a blue moon." How often is that? I got two flats on Saturday. Were there two blue moons then? This statement is vague and cannot be supported. Better to stete that a flat can leave you stranded miles from home so you should know how to repair one.
You say you have barely scratched the surface. This leaves me wondering what information you are withholding. It also makes me think that this really isn't the simple job you said it was at the beginning.