The reason why this is interesting to me, game of life is like my mental shortcut to the idea that there are simple rules that lead to computations that can't be effectively shortcut.
Simple rules also often lead to simple outcomes that happen to be optimizable, and those simple outcomes are often the most likely... until someone or some process accidentally discovers complexity and it takes over the game, as happens when a god takes advantage of the turing completeness capable in that physics or would naturally happen if true life--not just a replicator, but a higher level replicating entity capable of evolution--took hold in a world run by this ruleset... so please do not discount your original conclusion as it is entirely true.
Turns out that this one can, kinda.