Dear God please let this happen. Having a draft with no players to go up and accept their jersey with the commish. Not to mention no post-pick interviews. ESPN would be screwed. Would be an embarrasment for the Owners as well.
Edit: Good points below suggest what I didn't think of right away. This really would suck for the Rookies because they don't get to be part of this once in a lifetime event. Not doubt they are probably being forced against there will to comply.