If they cannot properly plot their route, then what else did they get wrong? This could easily cause them to rain dead billionaires all over someone's house.
If it's a grounding because of the failure, and they would also be grounded if they had aborted just before leaving the flight corridor, I think that logic works.
But that's not a great explanation if the grounding is specifically for leaving the flight corridor.
They could declare an emergency if they abort. Then nobody will look at the zoning during the investigation, and they get to ask whatever they want from the ATC who will simultaneously keep all the other aircrafts clear of the zone (also it New Mexico, so the uncontrolled zoning is weird)