The Eidolon is IN the film of its life, effectively on the cinema screen, reenacting it's life over and over again, with refinements.
The Daemon is WATCHING the film, effectively and audience member whilst still being part of the cinema complex which is our consciousness, thus able to interact with the Eidolon to guide its refinements.
Now, at times of brief lowered sentience, the Eidolon becomes an audience member, watching itself on the screen.
This causes the strange sensation of being IN the film (the here and now) whilst also WATCHING itself. It is that strange twofold experience that is extremely difficult to describe. The Eidolon knows it is in the here and now but also experiences that sensation of knowing what's coming next, as though watching itself.
If you think about it this way, this also has applications to NDE incidents.
Let me know what you all think!