“Page One,” a new documentary about a year in the life of the New York Times directed by Andrew Rossi, is showing at the sleek new Lincoln Center theatre on Manhattan’s Upper West Side for a mere $13. While not openly partisan or even political (there were no Obama stickers spotted on desks, no rants about the paper’s myriad conservative critics), “Page One,” which captures in semi-compellingif scatter-shot fashion a year or so in the life of the Times’s media desk, fits snugly in to the Upper West Side mentality of entitled liberalism.