I don't think Aumann's agreement theorem is the problem here.
If QI is true, the only outcome I can observe is surviving.
What does it mean for QI to be true or false? What would you expect to happen differently? Certainly, whether or not QI is true, the only outcome you can observe is surviving, so I don't see how you're updating your belief.
If QI is true, I expect to observe myself surviving. If QI is false, I expect not to be able to observe anything. I don't know exactly what that means, but I don't feel like this confusion is the problem. I think that surviving thousand-to-one odds must be strong evidence that I am somehow immortal (if you disagree, we can make it 3^^^^3-to-one), and QI is the only form of immortality that I currently assign non-neglible probability to.
I briefly thought that this made QI a somehow priveleged hypothesis, because I can't observe the strongest evidence agains...
Previously: round 1, round 2, round 3
From the original thread:
Ask away!