I don't know. Heat death seems a lot sadder to me, in part because I know that there's at least one universe where it will probably happen. Maybe you are just more used to the notion of heat death and so have digested that sour grape but not this one?
Conway’s Game of Life is Turing-complete. Therefore, it is possible to create an AI in it. If you created a 3^^3 by 3^^3 Life board, setting the initial state at random, presumably somewhere an AI would be created. Would this AI somehow take over the whole game board, if given enough time?
Would this be visible from the top, as it were?
EDIT: I probably meant 3^^^3, sorry. Also, by generating at random, I meant 50% chance on. But any other chance would work too, I suspect.