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The first few books (and really most of them that feature Rincewind) are not the best examples of his work in my opinion. Honestly the series evolves from cheap parody to suprisingly deep commentaries on life and society. Most of the books are standalone, so you don’t need to read all of them to get the best bits.
Might I suggest ‘going postal’ or ‘making money’ as good examples of his later work that are particularly stand alone.
It might be similar to a Motte and Bailey Fallacy. Though that one is more focused on distinct but related definitions than it is for distinct but related situations. Not the exact one that you are looking for, but the related concepts might be a path towards an answer.
https://en.wikipedia.org/wiki/Motte-and-bailey_fallacy