Integrated Information Theory I think is a fad, and a bad one at that. One could think of integration of information as a necessary but not sufficient condition for consciousness a la Scott Aaronson [1] who applies more rigorous mathematical examples of integrated systems - in fact ones close to maximal possible integrated information - that very clearly are unlikely have any measure of consciousness (like expander g…
The examples you gave are mostly abstract and not physical. If consciousness is a physical phenomenon, these algorithms must be manifest before they can qualify. As for the game of life, the pieces on a physical board aren't actually interacting with each other with feedback loops. In a computer, the circuits are mostly feed forward and the algorithm is simulated rather than physically realized.