My wife might be an example. Last night we watched TWOK and TSS back to back (thank you, STID!), and during TWOK she asked if this was after Khan worked with Starfleet... Yeah, she doesn't really pay much attention to Star Trek minutiae.
Although for some reason she knew what Section 31 was, and I still can't explain that as I don't ever recall her watching DS9.
Tonight is TVH!