And they're part of a vast, Wold-Newtonesque clan that also includes Miranda Jones, Cleopatra Jones, Rick Jones, Jessica Jones, Davy Jones of the Monkees, and Rocky Jones, Space Ranger.
The only reason I personally suspected that Stiles from TOS could ever be Styles from ST III is simply that they ACT alike
. Sure, we never knew Styles that well, but from what little we did see, it's obvious he was a pompous jackass - and so was Stiles, though more overtly racist of course.
That being said, it reminds me of my favorite line from Die Hard
, played completely and utterly serious:
"Hi, I'm Agent Johnson, and this is Special Agent Johnson. [beat] No relation."