Oy. So uneasy about this.
I'm trying to give this a chance, but Morrisson's already hitting a lot of warning bells in this first issue.
The main things we see about Damian in this issue is that 1) he's snotty. He doesn't respect Dick or Alfred, and thinks he could be Batman right now.
Also--he's awesome! Teh first thing we hear is that Damian (who's how old?)pretty much built the new flying batmobile, which Dick has to thank him for. Dick's "I'll never doubt you again, Damian" is presumably supposed to be a little amused, but it falls flat since GM seems to be using that as an excuse to have him really say it--Damian's simply not bratty enough to be amusing. He comes across as simply unable to deal politely with his inferiors.
Later he fixes the batmobile and gets another random compliment from Alfred about how Bruce always had trouble with whatever Damian's doing. It seems like they're working on that theory that braggarts suffer from low self-esteem, so Damian should be encouraged constantly. (Odd, since I get the impression that's what Talia has already done.)
Alfred responds to Damian's rudeness by ignoring it, Dick by "pretending" to go along with it ("Good, you're listening" in response to Damian's telling him not to use real names in the field because he told Damian not to.) Unfortunately, again, Damian's not bratty enough for this to really come off as soothing a child who's pushing the boundaries because he fears being rejected. So far it seems like GM is too impressed by him to make him that vulnerable.
It gets even worse when the characters have an expositional conversation to explain why Batman would drag around a kid who claims not to respect him. Dick voices doubts (not well-thought out doubts that really address the obvious problems, but a vague "what am I getting myself into?), and is answered by Alfred giving a ridiculous testimonial to Damian's awesomeness: "There's no denying he can be difficult, but underneath all the defensiveness and bluster, young Master Damian is the inheritor of his father's courage, his determination, his desire to do what is right."
Gee, thanks Alfred, for telling me how to read Damian. Except that what you just said was complete bullshit. Damian's never shown any desire to do what was right, he's never even been particularly courageous or determined. Those qualities don't exist "underneath" an actual personality that's self-preserving, spoiled and drives ambulances off bridges for fun. I can't help but think of Batman Begins' line about how "deep down" means next to nothing compared to what you actually do.
Now it seems like GM's basing a whole character on the idea that a kid can be rotten, spoiled, cruel and selfish but "deep down" be committed to doing right because he inherited that from his dad. (Even with a rather giant personality transplant from one book to another.) Which is why the Bat-operation will henceforth be about training Junior to one day inherit the cowl that's rightfully his as the possessor of the Wayne blueblood. Mostly by having all of the rest of the family act like exactly what he thinks they are--servants in his father's house.