If there is a difference between re-assembled water and old ?experienced water. The difference between formation of water from hydrogen and oxygen and water that has been around for millions of years. There might be an energy source here somewhere.
It could be the water has abilities to handle different situations. Perhaps this could be used to extract energy. Like the long iteration for the planet to get perfected water you ?could extract energy in a reverse iteration process. Changing parameters like pressure from low to high. Changing ?dissolve materials.
If water is able to handle different situations then this water knowledge is stored as some kind of energy. Millions of years of small energy contributions could then be extracted.
Water is then like a complex network computer that solves many problems. Then energy is ?stored someway in a complex way. Since re-assembled water is not equally good.