We should allow trivia questions, but not introduce a tag for it.
I borrowed justification from The Death of Meta Tags, by Jeff Atwood. The trivia tag is a meta tag. It describes a particular "kind" of question, but does not tell you what the question is actually about. It could not stand alone as the only tag on a question. In other words, every single question tagged trivia will require a supporting tag (like chess trivia, or Magic: the Gathering trivia).
The Sports community skipped a step when they were discussing trivia. After looking at their meta discussion from years ago, it looks like this happened:
"Should we allow Sports trivia?"
"Yes, we should, but let's make some rules so that we only have good trivia."
The trivia tag is born.
But hold on a second! Nobody bothered to ask...
"Do we make a tag for it?"
It does not follow that just because a particular breed of question is on topic that we need a tag for it.
We do not we need to generate any sort of rules like Sports SE. Easily searchable trivia will be downvoted for lack of research effort. Subjective trivia will be closed as primarily opinion based.