Hey thanks for the feedback! I will try to update the site to clarify the language a little more –– what you described actually is how it works. The user that signs up is the concerned party that we would notify. The app watches all tweets on that user's home timeline. By "home timeline", I was referring to all tweets posted by the user and everyone followed by that users (so, your Twitter feed). That's how it's described in Twitter's API docs, but I can see where that may be a point of confusion.
