Oh I absolutely think that airlines have a Don't Fly list - former Air Rage customers, competitor "secret travelers" etc? Of course this is my speculation... but other businesses do this - I am sure Car Rental has a list of Don't Rent customers. I used to work for a car rental company and we had a Don't Rent list of people with bad credit, multiple accident/no insurance history etc. You really have to protect your backside sometimes. Any "official" lurkers out there care to comment on the airlines specifically?
As for these two women - I can't imagine any airline would want them to fly - I am surprised CO even let them fly together to get home from Alaksa - I would have expected 2 flights, with 1 parent/twin per flight.