While one would not be entitled to compensation in the event of weather-induced delays, and while there is no guarantee when someone might make it to the final destination in the event of a weather delay, I cannot believe that an airline can just strand someone indefinitely/forever at an airport without eventually offering some method of conveyance to the final destination.
If this principle applied, it would mean that those stranded after 9/11 diversions were on their own to get back from Gander.
Even if it meant the passenger overnighting at LAX on his own dime and then flying standby to SBA via SLC the next day, or something similarly inconvenient, I think the airline would be obliged to eventually get you there if you wanted to go there.