A hollowed out book containing a bunch of whacky, possibly fascist stuff, is not exactly a fake book. What exactly is a fake book? What's a fake statue? All I can think of is when authorship is incorrect.
A hollowed out book does have a hidden void. I'm a pedant too, but I try to avoid contradicting myself. Your assertion that the contents constitute a written story is unsupportable, given the singular absence of declarative sentences or anything resembling a narrative.
fake (adjective): designed to deceive or cheat; not real; counterfeit.
The headline is not inaccurate, but it is ambiguous. When I read the headline, my assumption was that an authentic book was replaced with a counterfeit.