More or less, this is also what comes to my mind when I try to figure out the second death issue. I think it should be about individuation, or lack of it.By the way, according to Ra (Law of One), at physical death the soul revises the recently completed incarnation and filters out the distortions of personality acquired in that incarnation, leaving pure distortions (those that cause evolution in the soul). Certain guidelines that defined our personality disappear (religious ideas, politics, sexual, etc ...).
Is not that also a second death?
Well, not really, because who we really are, our authentic essence, remains intact.
The excerpt "A: Death and birth are the same." might be relevant.
When an OP is born again, this might be akin to the concept of death. To some extent, this might also apply to souled beings but even more so for OP's. I mean, each incarnation is like a new page, but the one of an OP is probably much more like a blank sheet. Maybe they are not capable of bringing anything personal from a past life, just the generic pool data?