I like him.
Simple, he’s an interesting character.
People who hate Damian forget about other uptight/nonchalant, vengeful, and/or polarizing characters that are nevertheless praised like Kratos, Vegeta, Piccolo, Punisher, Ghost Rider, Near (Death Note), Blade, Spawn, and Dante from DmC.
I believe Damian Wayne is not just a 2-D character that DC pulled out of their butts as a marketing ploy to get consumers’ attention as the Son of Batman. Damian Wayne is for all intents and purposes an interesting character right up there with Raven of the Teen Titans; a character whose collective, quite knowledgable, knows her existence is problematic and yet really wants to do good (notice how both are responsible for bringing the Titans together in different comic iterations.) Cassandra Cain and Emiko Queen also share similarities.
Damian is a brutalized, hardened, grounded, effed-up kid that one could argue was put through a ton of child abuse yet nevertheless accomplished more than any person could have by age 10. His mother and grandfather got it in his head to be ruler of the world and be the ultimate assassin. Even worse is he gets caught in the crossfire between Batman and the al-Ghuls, further torturing the poor kid making him a pawn for anyone he perceives as his superior. His brash, insubordination, and self-centeredness (everones’ critique) is him overcompensating over the fact that he wants to make Batman proud yet feels that he’s being held back by Wayne’s methods of justice contrasting to that of the al-Ghuls’ upbringing/prepping of Damian. The kid just doesn’t feel whole and gets little release.
It’s characters like these that really make one wonder what direction they’re going with with so much potential, and plenty of room for growth. Batman 666 and Batman Incorporated Vol. 2 #5 really made him into the intimidating Bat that has quite the questionable sense of morale. Damian represents an ultra-dark side to the world of Batman, a very demonic one that clashes into the uncanny valley where no one knows what’s right or wrong anymore, conflicting ethics, and humanity takes a daring shot at tackling that predicament, whatever the outcome. Damian Wayne is an excellent character.