You are comparing apples to oranges. You're knocking geese and cranes out of the air. Unless you hit either in the head/neck they come down alive. Most of them come down because you break a wing and they hit the ground alive, neither use their legs as an escape mechanism so it doesn't matter. They can take a lot of shot if to the body and usually just keep on going, or come down 1/4 mile away. You also have to figure in that the goose or crane takes a significant amount of shock when they hit the ground from 30 yards up.

Break a wing on a turkey and he'll be in the next county in short order by foot. To incapacitate a turkey you need to break both legs and a wing, hard to do with a body shot. Personally I've always been in the smaller shot/more pellets camp for shotgun hunting. I know my range and like my increase in odds with more pellets.