What happens if you lose all your family members? Like, let's say that you visit the Land of Milk and Honey twice, or you only visit once and then get hit by Carbonite Cousin of the X deck?
What happens when you have no family members to play? Do you lose? You don't have to feed them anymore, or heat your house, but you'd still get the benefits of animal growth during the harvest.
(All seriousness aside,) I'd offer that you LOSE. With no family, it seems unimportant how many points you score if your line is wiped from existence.
I SUPPOSE, however, that if more than one player lost all their family members, then the person with more points would be the "winner" of the two. Or the less "loserest".