Totally tangential, but I absolutely despise logic teasers of this kind. First of all, they are so completely divorced from patterns of culturally conditioned

Totally tangential, but I absolutely despise logic teasers of this kind. First of all, they are so completely divorced from patterns of culturally conditioned human reasoning as to make them come off completely absurd (most people reason about their food preferences using a logic of tastes, not syllables in a word). The game is less about logic and more about ignoring message contents, moving up a level, and treating the text as data without any legitimate evidence that you are justified in doing so. This is not a logic problem, it's a "guess the register shift/meta language" problem. The problem is about noticing that the question is not about the message content but about the structure of the message itself, and requires a bold leap. In real life justifying the conclusion would actually require a very sophisticated inference that allowed you to rule out the much more common application of a logic of tastes or cultural codes completely.