Sorry man. I'm pretty sure they're stored locally via HDD not online,
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I've wondered about this as well - I figured if the files were local then Destiny would have been hacked by now already given how difficult it is on the grind. Perhaps Support will reply and we will get some sort of confirmation.
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Edited by YeTarnished: 10/17/2014 8:49:01 AMWell if you sign your profile in to another console after recovering it your saves aren't taken with it