I wonder how much impact there will be on average life expectancy uncovering that a lot of the super-long-lived population examples have been pension fraud.
For every pension fraud that went on that long and took such an obvious risk with continuing to a notable age, I imagine there were hundreds or thousands of shorter frauds.
In this case, the “shorter frauds” involve dying near the reported date of death? By your definition, the postulated (unreported) deviation is statistically insignificant.