Precisely so. You say it better than me but in my words this is a materialist acknowledging the Mind-Body Dualism of many past comics. Ultimately he is providing a materialist solution in a wrapper that is designed to placate those who don’t share his philosophy. He hand-waves just enough that the majority of readers will just go with it.
I think what you are picking up on is the way Storm is literally selling the idea of resurrection to the crowd. We have already seen something similar with The Church of the Ascendancy. This is culture building. No surprise that this story is called Society.
Xavier is selling the idea of individuality and resurrection to a crowd that might question it. Clearly Storm has bought into the importance of this. Is it a lie? Yes, because all cultural values are lies. Undercutting the individuality / indivisible philosophy is the file that points out this process can create viable duplicates. Nobody is shouting that from the steps. That is hidden under the Force Conventions.