I don't believe that about other teams wanting that dubious record. Losing is losing. If anything, losing in the post season is worse than losing in the regular season. So the Vikings make the post season more than the Lions. Neither of them have a trophy and I guarantee one fanbase is less stressed than the other.
FWIW, I was a much more easy going fan prior to the Brees/Payton Super Bowl era when I didn't have any expectations. You can't miss something you never had.