Batman didn't fail because Jason died. He failed because he stopped being Batman afterward. The film argues that the mission isn't about revenge—it's about showing up, broken, every single night. A guard in Arkham delivers a meal to the Joker's cell. The Joker is sitting up. His eyes are clear. He traces a cracked hourglass in the condensation on the glass.
Cut to black.
He smiles.
"Oh, this is going to be fun. Daddy's home." Batman.