I know another American who stated that she didn't need to apply for a second FLR before she got her ILR.
Well, if she applied before July 2012, she didn't. However (and no offense to your friend) sometimes people can be badly misinformed about what kind of visa they have or need. Is it possible that she has FLR but thinks it's ILR? It would be awful if she thought her visa was indefinite when she actually has another step to complete. It might be worth checking out the details with her.
I don't have the money to be flippantly paying out for numerous visas! Wouldn't they say this on the website? It's a huge thing to leave out!
Not defending the website at all, because it is terribly vague and difficult to parse, but it actually does state this. You do have to know what your current status is (what kind of visa you have, what your right to live in the UK is based on) in order to work it out, but the info is there. Traveling Frog's flowchart is a whole lot clearer, though.