I happen to enjoy Damian's addition to the Bat-family, but I also highly empathize with fans of Tim not warming up to him as a character. Damian has earned a lot vitriol for his behavior with the former Robin. While I think seeing Tim respond to Damian's baiting to be beneath him, he is young enough and still has a reasonable amount of grudge with this kid that makes it understandable.
That said, Damian is actually performing the role of Robin in ways that I think no longer apply to Tim Drake. He is being forced to learn and grow and make mistakes and learn again--and sometimes in a very humbling fashion. Tim had a bit of a learning curve himself in his early days, but I honestly feel his overall creation was too complimentary, too smooth and on-the-nose modern with Batman, so as not to 'crimp his style'. In the 90's, editorial got a B&R without Batman having to really nurture/mentor the Robin role.
And I'm not talking about getting Tim beefed up on physical combat skills. That's important, but seeing Damian with Dick in Morrison's take on the dynamic was a nice throwback to days when mentors had a positive impact on their student's development.
I look at Tim's entire career with Batman, and while there may have been some poignant moments very early on, that whole relationship went sour for me the more creators were pushing the books into a dark and dysfunctional place, as was the trend. By the time
War Games came, you had a Batman trying to manipulate Tim, use Steph as a pawn, and create a destructive environment that would lead to her death and several others. I went on a hiatus from the Bat books for a few years out of complete disgust.
DC might think they were being edgy and cool, but they failed to realize they were writing Bruce Wayne as a
psychopath with no concern for the minors in his care. I almost feel like Damian is poetic justice as it forces Batman to have his sh*t together.

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