Finally starting to catch up, and thank you for your patience. That is an interesting article. I seen others regarding this discovery but not that particular one before.
There ARE points of 'self-organization' of matter, as when water becomes ice. Its molecular organization is increased during the freezing process. We see similar things chemically. However they are never random. They follow strict laws of the energies of the nucleus and electrons of each atom involved.
What evolution origins requires in terms of organization is not this at all, but rather not only the random formation and organization of organic substances but the forcing upon them of the life process itself. And that is a whole different ballgame!
Think about it. Please don't do this, but if you put a live fish in a blender and turn it into mush, you have ALL the organic components needed for life, but there is NO WAY you are going to get anything living out of the mess you just made. Man can cause death, not life. Chance can cause death, not life (if chance there be).
So where did the processes we call life originate? Not with the molecules -- that has been pretty firmly established.
So from where?
Either matter is eternal or an organizing Intelligence is. One of them is self-existant, beyond the reach of time. Every man must choose.
Finally, you asked me why I said if God was small enough to be proved, He would not be God.
I said that because proof requires manipulation. Variables must be eliminated so that the only possible outcome is a 'yes' or 'no' regarding the hypothesis. God is not part of the realm of the manipulable, or of variables. He is God.
You might as well ask a vase to prove the potter. If the existence of the vase itself doesn't do it, what would?
If the existence of creation does not prove a Creator, what would?