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A lot of the items in the list seem to just be titles with prepositions in them, which would make this trope People Sit On Chairs. I think there needs to be a fairly clear line for what does or doesn't fit the trope, or it isn't a useful trope.
I expected this trope to be about titles like "On Deadly Ground", "With Strings Attached", "Of Mice And Men" — titles where the whole thing is, in fact, a prepositional phrase. Not just contains a prepositional phrase, which as you said, is way too broad.
Wouldn't "Prepositional Phrase Of Coolness" be a much more fitting and natural name for this trope?
Absolutely. How do we go about changing that?
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How well does it match the trope?