I had often wondered the same thing until it actually happened. We were leaving out of New Orleans for a cruise and it was when Tropical storm Lee was hitting the area. We caught the last flight into New Orleans before the airport closed. NCL called our emergency contacts, which were both sets of parents to let them know that the cruise would be delayed for two days. Even though we were made aware of it, it was nice that our parents got the heads up while we were traveling and not able to communicate with them yet.