If they have some control over their minds and can do things like call for help, do they have any grasp of memory? If they saw someone they might recognise, would they recall names and be able to call those out, or is that beyond their mental capacity? If they knew someone was about to kill them/had a gun pulled on them, etc are they crafty enough to try and beg for their lives?
Also, exactly how far are runners willing to chase people? Are we talking across Manhattan? Will they keep trying to run if they break a leg?