, you're probably correct--neither 'fits' with the material that came before it, although this so-called Star Trek is a more complex animal. Lato sensu
, though, I think showing the origins of previously filmed material (or material that simply hadn't made it to film before, like Batman), can be considered 'thematically' prequels even where they don't lead, linearly, into the material it chronologically predates from an in-universe perspective. The idea of showing these events is, after all, illustrating how characters, settings, etc. become that which already has broadly defined, future existence in the popular consciousness.
Fictitiously yours, Trent Roman