Not sure if your beef is with the capital I or with the term "internet". Switching packets between multiple point-to-point networks is certainly within the realm of internetworking although I would agree that routing at layer 3 would come much closer to agreeing with a stricter definition of an internet.
In any case, it isn't really hyperbole unless you think they are drawing a comparison to the Internet (capital I).
In any case, it isn't really hyperbole unless you think they are drawing a comparison to the Internet (capital I).