Honestly not that bothered about damian being FS Batman or any sort of Batman since it's not like anyone other than maybe Terry can ever be a notable batman besides bruce.
I do however have issues when DC makes a big song and dance about representation and then proceeds to leave out the most prominent minority character they have ever produced.
Don't get me started on DC's inability/reluctance to depict Damian's heritage.
DC has zero interest in representation or diversity aside from quick bucks. I had hoped that Daniel Cherry might bring about a change but sadly that hasn't been the case.
DC could have had David to counter BP