IMO...yes, they should count. Otherwise, you would get people who are losing that would unplug network cable or disable wifi so that they receive an error (compared to using the leave game, change characters, sign out functions).
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I understand that perspective, but that's a "guilty until proven innocent" style of belief.
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The destiny community has been known to pull cat cables in the past, probably why it is on bungie's radar
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It’s also to protect against abuse of the system if it worked like you suggested.
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All I would really want is for the game to at least not count winning games as "leaving". No one does that.