Tim I think, truthfully is the most sensitive of the Batclan, and while Dick here seems a bit harsh or cold, he has to be, he's Batman now and needs to be a bit stronger or more rational than he normally would.
If Dick is going to act like Bruce would as Batman there's no point in him being Batman in the first place because there'd be no difference. We should be seeing how Dick makes the role of Batman HIS, not how he conforms to the role of Batman.