Distinction between "creating/preventing future lives" and "improving future lives that are already expected to exist"?
I'm writing something (mostly for myself right now) about how if you're somewhat of a utilitarian, a very wide range of population ethics principles (total utilitarianism, average utilitarianism, and critical-level utilitarianism with any critical level) will lead to the population size of some countries being strongly non-neutral, in the sense that changing the number of people in those countries is worth a surprisingly large reduction in average income (>2% income reduction for a 1% population increase/decrease).
Part of what I wrote used an assumption that shared by all the utilitarian population ethics principles I know of: if you prevent the birth of someone with utility X and cause the birth of someone else with utility Y (with Y > X), that's just as good as causing a not-yet-born person to have utility Y instead of X. In fact, population ethics is not needed to make this comparison, since neither outcome changes the population size. But it's not too far-fetched to think that the two situations are different: in the first one, the Y-utility person is a different person from the X-utility person, while in the second one they could be argued to be the same person. Good arguments have been made that the second outcome actually produces a different person because very small things, like which egg/sperm you came from, can change your identity (Parfit's Nonidentity Problem). So I think my assumption is reasonable, but I'm concerned that I don't know what the best arguments against it are.
What are the most well-known utilitarian or non-utilitarian consequentialist theories that make a distinction "different future people" and "the same future person"? Is there a consistent way to make this distinction "fuzzy" so that an event like being conceived by a different sperm is less "identity-changing" than being born on the other side of the world to completely different parents?