It's also not clear to me how AA got the computer to print all the bag tags before its cutoff (isn't that 60 minutes?) and the group STILL couldn't get to the gate in time. Maybe the agent WAS able to over-ride T-60? Or perhaps maybe since they were already checked in, the system let the agent "re"-print the bag tags.
In any event, this does sound more like something that would happen on UA...