So you would not expect partner to run with a balanced 0-3 count (which he presumably must have)? If I trust that my opponents aren't having a misunderstanding about the redouble, then I think they can never psyche the redouble (unless they know our methods), in which case there is no need for the 0-3 balanced hand to pull, because partner might just have 7 tricks in hand. With a bad 16 count, doubler knows to pull. If I think the opponents are misunderstanding or are capable of psyching the redouble, then obviously bad hands have to pull.