It is impossible to make any claim of attainment or realization without a sense of me and mine

You could start a religion.

I know what you are trying to say with your whole explanation. You are basically proposing paramatman. I don’t think you have proved there is a self by saying there is always a sense of self even if it is an impermanent sense and it will just come back, a non-sequitur. However, that isn’t something that is proved just philosophically since it’s also something people end up believing from meditation, but I think this is a topic for another thread?