Tim didn't strike me as terribly grounded in 'normal' kid reality when first introduced either (I doubt very much a normal kid would be able to deduce the identities of Batman and Robin based on one chance sighting). Actually...I don't think any of the kids in the Batman titles are exactly 'normal' (the closest is Steph, I'd say). They're all extraordinary in their own ways, the difference is that you get to see them in normal, kid like situations (interacting with peers, going to school, etc...). Damian has never been in an age appropriate situation....which is kind of why I want to see him interact with other kids. I just want to see how he'd react.
Though I'm fine with him being an imp too. I wonder what would happen if you tricked him into saying his name backwards?