Indeed, and in particular it's the coupling of the eternal soul to the temporal body, that is held to be inaccessible to naturalistic inquiry. There are similar problems surrounding reproduction.
The thought process is probably the same reason we're all telling ourselves LaMDA and GPT-3 can't be conscious:
Our subjective experience of reality constantly eludes our ability to explain in terms of any physical or informational processes, so every time a system becomes explicable, it leaves the domain of "things which might be self-aware".
Some people take this in the other direction and attribute a soul to everything, others go further and say that even our self awareness is an illusion.