You're right. Pujols has an elbow injury that seems to be fine now, but could blow at any time. Braun has a rib injury that seems to be fine now, but could blow at any time. My bad.
Yes, Pujols's injury has been identified, but the doctors know that they're only managing it now, but they don't know how long it will hold, and surgery will probably be a necessity in the future (near or far).
So, we have 2 injuries, neither of which are currently bothering the player, and both of which may cause problems down the road. No, they're not completely similar, but I don't see the point of the "2 separate things" posts which don't offer any insight of their own.