(ETA: I was thinking of this from a historical perspective. Nowadays, one could use popcorn popped in a hot air popper, but back in the day when this tradition supposedly started, they would have used hot oil to pop the corn, Hence, grease. Also, imwalde raises a good point below, namely that cranberries aren't really juicy enough to leak juice all over the damn place. And that does track with my experience slicing cranberries for cranberry bread. Neverthess, I think they are juicy to make your hands sticky over time when handled in volume.)
Incidentally, did you know that Wisconsin leads the nation in cranberry production? More than half the cranberries grown in the United States come from here. Meanwhile, our official nickname is the Dairy State, but we're a distant second in milk production behind California. Go figure.
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