Steve:
Not every site imports most of their orders from EDI but I do agree that most sites will reprint a Pick immediately after making a change.
I seem to recall that Softrak had some other reasons for not including the Pick in DocStore. One concern that definitely exists is some reprinting the Pick from DocStore and then that Pick gets shipped as a new order.
Maybe Softrak could make this yet another CP option to allow DocStore for Picks.