I'm not sure you and the OP mean the same thing by "General Intelligence". It seems clear that autonomous systems which can apply their computational machinery

I'm not sure you and the OP mean the same thing by "General Intelligence". It seems clear that autonomous systems which can apply their computational machinery to a diverse range of problems, and can, in a diverse range of settings, formulate instrumental goals as part of a plan to attain a final goal, do exist. Because that's what humans are, at least some of the time.