OBAA is *about* out of date attitudes and people who hold them. It’s a send up.
I took it as a comedy - DiCaprio spending the whole picture running around in his bathrobe, Sean Penn as Colonel Lockjaw (Lockjaw?! Really?) with the weirdest haircut imaginable. And the mother of the heroine is named Perfidia. I did like the Benedicio Del Toro character. But then, he's always good.