The escape method the gang used (smearing the bonds with food and letting an animal chew through them) is the same as the one used in Edgar Allan Poe's story, The Pit and the Pendulum.
Perhaps the story with the gang strapped to a table under a swinging pendulum will do the trick. Nope. I'll give Peterson this much. The way in which they extract themselves from the "trap" is within the characterization of Mystery Inc. and Scooby-Doo. However, he doesn't provide a good enough reason to explain how they happened to be in the predicament, and again, it's nothing. Completely benign. The false phantoms and masked monsters of Scooby-Doo Where Are You?, really attempted to get Mystery Inc. out of the way. Here all three stories amount to misunderstandings rather than crime. Bah!