Your story reminds me of the joke/anecdote of the way to cheat on tests. You religiously look over your notes and the textbook in the weeks leading up to the test, so that when you take the test it's like you have a comprehensive cheat sheet with you, but in your head.
If the hiring process wasn't able to distinguish between you or who they thought they were looking for, then it wasn't your responsibility to inform them of it.