When the apocalypse strikes, it's likely that we'll be too busy dodging locusts, nuclear fallout, or cannibalistic monsters to care about how your favorite sports team is doing. The major franchises have other ideas, though -- you strung them along with promises that you'll support them until the end of days, and now you're going to cut and run? If their mass disaster plans say that you'll be supporting Cam Newton until the day you die, that's what you're going to do.
On a more serious note, it seems that airplanes carrying entire sports teams do have a horrifying habit of crashing down, and you can't always count on Ethan Hawke and cannibalism to save the day. So, it makes sense to plan for these things. According to the NFL, if fewer than 15 players on a team are killed/injured, it's considered a "near disaster," and the team is required to finish the season anyway, though they get preferential treatment on waiver claims (woo-hoo!). If there are more than 15 victims, though, the team can be retired for the rest of that season and, as a consolation prize, receive the No. 1 draft pick in the following year. If your team is doing shittily this season, just know that an unscrupulous executive somewhere has floated the idea of booking them a bush plane and sending them to play an opposing team deep in the Nunavut tundra.