I don't believe that the Push API has been released by RIM for the PB as yet (it may be that it's the Notification API that is holding this up though).
Given the attention of ScoreMobile to this app, and also to their other blackberry app, I would imagine that when it is available, the app will be updated. Their phone versions do push updates, and I've had zero problems with that.
I might be wrong though, and I'm sure someone will correct me if so.