Aah. But what I'm saying is we haven't been given a finish line, a win condition. I doubt a single act of indulgence will secure someone their wish. With the given parameters, we could be stuck here indefinitely, to indulge. Our hosts have not given us a deadline or quantitative amount.

What they did mention was killing. If someone is dead, they cannot make the choice one way or the other to indulge.
[He's not saying "maybe we have to kill the other teams to win" but he's also not NOT saying that.]