When I talk to those who don't understand hunting, I have often described hunting (or fishing) as being a participant rather than a spectator.
A spectator can watch while missing a whole lot and not understanding and it doesn't change the outcome. When you hunt, you take up the role of a predator and you're actually an active participant in the process. It's a test. Your understanding and skill are measured.
That said, I'd point out that a real predator would jump at the chance to eat a turkey that was caught in the fence. The bird screwed up and the predator gets a meal.