Quantum immortality of the second type. Classical theory of QI is based on the idea that all possible futures of a given observer do exist because of MWI and thus there will be always a future where he will not die in the next moment, even in the most dangerous situations (e.g. Russian roulette).
QI of the second type makes similar claims but about past. In MWI the same observer could appear via different past histories.
The main claim of QI-2: for any given observer there is a past history where current dangerous situation is not really dangerous. For example, a person has a deadly car accident. But there is another similar observer who is night dreaming about the same accident, or who is having much less severe accident but hallucinate that it is really bad. Interestingly, QI-2 could be reported: a person could say: "I have memory of really bad accident, but it turn out to be nothing. Maybe I died in the parallel world". There are a lot of such report on reddit.
This also comes down to our previous discussion on your other paper: it seems impossible to undo past experiences (i.e. by breaking chains of experience or some other way). Nothing will ever change the fact that you experienced x. This just seems as intuitively undeniable to me as a triangle having 3 sides. You can break past chains of information (like erasing history books) but not past chains of experience. Another indication that they might be different.