I've only seen Zeta, and I'd assume it was for the trendiness of Z names rather than because it's a Greek letter specifically. And I read a novel in which a character used
Delta in his diary to refer to a man he was in love with; this chap's actual name was I think never stated. A useful pseudonym, therefore, as the book was set at the time when male homosexuality was illegal in the
UK. Of course,
Delta could also be trendily geographical!
I don't like English letters used as names!
Even though my
Beatrice daughter happily goes by
Bea.
Jay,
Kay,
Elle etc look flimsy and silly, but become less so if they are actually short forms of, say,
James,
Kate or
Eleanor. Which is better, but still not good. And I knew a
Katharine Anne who used to sign herself KT, rather than KA, because it sounded like
Katie. Yuck.
Greek letters as names ... I think you've got your own answer. The ones you cite fit comfortably enough into mainstream English naming practice. Epsilon or Omicron wouldn't. (And of course an English
Diana could use
Dee rather than
Di, but I would never expect to meet an English
Patrick calling himself Pee.)