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Isn't working for someone, regardless of whether you enjoy it or not, performing for someone? The employer just wants to get an idea of what type/quality of performance you will give. Not entirely dissimilar to reading a review on a play. Sadly, there aren't scores of critics lining up to review all potential employees. So they rely on creative questions to get a feel for candidates.

Regarding the Fermi approach: just because it didn't get a mention doesn't mean it isn't accurate. Also, see BFilmFan's comment.