How do we understand the idea of the 'self'?
I think that your idea of self as being an aspect of self organisation does make a lot of sense to me, although if someone had suggested it to me about 2 or 3 years ago, I would have found the idea as being rather absurd. I grew up in a Catholic background and had a strong belief in the soul. However, I have questioned my initial beliefs, including the idea of a soul in connection to views about consciousness, especially since using this site.
Currently, I do see us as living systems, and see self and consciousness in connection with this, although I still remain open to Jung's ideas on the collective unconscious, and to Rupert Sheldrake's ideas of memory inherent in nature, in the context of morphic resonance. But, it think that we do develop systems of information, as evident in memories and this is inherent in our sense of identity and self.
When I think about my own development of self and identity, it is bound up with significant memories, like I can remember clearly so much of my own experiences going back to when I was at primary school and, a lot of memories before that. It does make me wonder what happens to the sense of memories in people who have dementia. I have done some work with people who have dementia, and did find that they respond so well to listening to music from previous eras, and it could be that the songs enable them to gain more connections with aspects of their fragmenting selves.