Mobilize tokens dying through shield counter

The title about sums it up. The mobilize tokens say something like "at the end of the turn, destroy this creature", shield counter should prevent that, right? In paper, Zurgo just prevents the tokens from dying; in PQ, it gives them shield counter 2 until your next turn, which at least at first glance seems to be trying to do the same thing. However, the tokens still just die. Is this intended behavior?