I don't agree.
We have choice points at nearly every waking instant. Some of the signals announcing a choice point are more a part of the external context (outside of us) and regarding those, I agree, that "the imaginary same person" would live a second life similar to the first.
But there are many choice point signals that are more about the internal aspect of our context in that moment.
Most of these internal triggers are calls to shift the consciousness in some fashion. Here are just few examples:
- Our defenses signal do this or that (they can be healthy defenses - a "gut feeling" that the person we are dealing with isn't really our friend, or they can be unhealthy defenses, like a feeling of anxiety telling us to ignore something right in front of our face because it might bring to consciousness something that we are in denial about).
- Some tiny discomfort can be a signal that we need to focus more intently, that we may not understand what is in front of as well as think we or as well as we need to. "Do I need to pay more attention?"
- Another tiny feeling could be saying I should be more or less tolerant in a given context, or focusing in a different direction, or more or less relaxed - we shift the kind of conscious focus, as well as the intensity and direction.
- Our character sends us signals when something arises effecting our integrity.
- How strong is a person's signal telling them when they are straying from a primary purpose? Some people are more "purposeful" than others - that's not a genetic difference! It's about choice points and building habits.
- We get some signal for a choice point to change our focus from a pursuit ocurring in the moment to a larger value in the future that is in conflict - call that one a signal to exercise our will power, our discipline.
Because we are the agent at these choice points, and because the sum of our choices shape our very being (our character, our will, our self-esteem, our virtues, our wisdom and so much more) as we are making them, I don't see any realistic way to talk about living a second life the same as the first. It would certainly not work as a context for discussing regret which implies we might do differently - not if the concept of volition has reality. Even hindsight and introspection are choices, choices that change us as we choose.
If we focused on all choice points only from their external aspect or their outcomes, we would appear to be automatons of some sort, at worst, or, at best, very clever devices that some how acquired the values that drive us - with no real understanding of how that works. The concept of choice points that are mostly internal let us build a model of how character forms, what will power is, how virtues are acquired or lost, how the level of self-esteem ebbs and flows - to put it in a nutshell - how we build the person we will be, moment by moment.