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I have some issues with the first two paragraphs of this description:
I think I'm going to rewrite it to focus on the fact that it's played for comedy.
I am not sure where the implication comes from.
There is a short story about a starship that runs on sex. It was a gift to Earth from some alien visitors. The crew initially was told that they have to wish for the ship to go faster and it would, but the details were deliberately omitted. The ship systems were secretly spiking water with aphrodisiacs, the crew started behaving oddly, ended up with an orgy several days long and managed to reach their destination in mere days. After that they quickly figured how the drive worked and why they weren't told.
If I'm not mistaken the story was written either by Larry Niven or Alan Dean Foster on a bet with Poul Anderson. Does anybody remember the title and the author?
Also Poul Anderson (or whoever the bet was with) wrote a story about a beer-powered starship. Does anybody know it?
Is "Superman gets his powers from yellow sunlight" this trope?
No, since this trope is purely a comedic one. Superman's sunlight powers are meant to be taken seriously and are never played for laughs.
How is this different from Science in Genre Only?
How is this trope different from Insane Troll Logic?
This trope is a Handwave that's Played for Laughs. Insane Troll Logic is coming to a conclusion in a ridiculous way.
Nonsensoleum vs Unobtainium.
I think Nonsenseoleum is meant to essentially be Unobtanium played for laughs, where the former doesn't even try to fool the audience into thinking the scientific explanations make sense.
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How well does it match the trope?