I will say this just once, though: in the course of four semesters of Short Story Workshop at a local junior college, one of the things the professor constantly drilled into the class was that you don't want to throw readers out of the story unless you're doing it deliberately, for a very good reason. And you don't have to have an eidetic recall of TrekLit, to read something and get thrown out with the thought of "This directly contradicts something that somebody else did a lot better, many years ago."
On the flip side, it could also be jarring if a more casual reader keeps running into references to events and and characters they don't remember from the TV shows and movies.
"Hang on. Who is this 'Piper' person they keep mentioning? Am I forgetting an episode?"
In the case of the Crucible books, which were specifically intended to be a special anniversary event, I can see the argument for wanting to make them super-accessible to Trek fans in general, who might not read the books regularly, but could possibly be lured into buying a special event celebrating one of the most famous TOS episodes of all.
Confession: When I wrote my third Khan novel, about his stay on Ceti Alpha V, I deliberately avoided any specific references to my own Eugenics Wars novels, because I wanted that book to be accessible to anyone who knew and loved THE WRATH OF KHAN, not just folks who had read my previous Khan novels.
Granted, I never actually contradicted my own books; I just refrained from having Khan brooding about Gary Seven or whatever.

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