I think a way to see yourself through this is to look at the mutual information and distinct information between copies. Being identically prepared in a featureless box and quickly killed or surviving, there is little opportunity for divergence. The death does not result in the overall loss of information because of the mutual information between the copies and the lack of distinct information.
A scenario where the death is more drawn out is less acceptable. Similarly, a scenario where the copies live for an extended period, and then one dies abruptly, is similarly unacceptable, due to the gain of distinct information.
As a concrete fictional example. In one (arguably several) arcs of Sluggy Freelance, characters were scanned by nanoprobes. Then they proceeded about their lives, having major personal revelations. Then some of them died, and were restored to the scan point. The death of these characters was sad.
I think a way to see yourself through this is to look at the mutual information and distinct information between copies. Being identically prepared in a featureless box and quickly killed or surviving, there is little opportunity for divergence. The death does not result in the overall loss of information because of the mutual information between the copies and the lack of distinct information.
A scenario where the death is more drawn out is less acceptable. Similarly, a scenario where the copies live for an extended period, and then one dies abruptly, is similarly unacceptable, due to the gain of distinct information.
As a concrete fictional example. In one (arguably several) arcs of Sluggy Freelance, characters were scanned by nanoprobes. Then they proceeded about their lives, having major personal revelations. Then some of them died, and were restored to the scan point. The death of these characters was sad.