Does it feel odd that the episodes would have pages for cast and crew, but not for small tidbits of details of information on the page? I think we should do a page for that kinnd of content relating to episodes of shows.
What sort of trivia did you want to include? There is the Notes function for specific items (such as title translations). Most trivia listed at sites such as IMDb isn't really relevant, however.
For more information on Episode Notes that we do allow, see the Data Polices: https://www.tvmaze.com/faq/16/episode-extras. Information on episode notes is at the bottom.