I agree that nitpicking is unhelpful, but you're wrong about singular they. It goes back at least to Chaucer and is as English as can be. Shakespeare used it ("God send every one their heart's desire") and Jane Austen way used it (http://www.crossmyt.com/hc/linghebr/austhlis.html). No one can accuse Austen of "silly new grammar".

The point is that all the good writers have used it forever. That includes Byron ("Nobody here seems to look into an Author, ancient or modern, if they can avoid it") and Wilde ("Experience is the name everyone gives to their mistakes") and, as Geoff Pullum wonderfully discovered, E.B. White: http://books.google.com/books?id=aqe9RoZorLIC&lpg=PA109&...

The kicker is that the real PC silliness turns out to have been generic he, which was imposed 200 years ago by grammarians who wanted to make English more proper and Latin-like. It never fully took, and now it's fading as social norms shift. If those meddling ideologues had left well enough alone in the first place, we wouldn't be having tedious pronoun battles today. Given the history, though, it's pretty clear that English is slowly reverting to what the real masters have been doing all along. Sounds fine to me.