Computers can already infer sentiment, not to mention recognize patterns extremely well, and are likely trainable to provide example feedback to any given cultural current. Is culture really any more diffuse than something like conversation, which computers already do reasonably well?
Furthermore, it seems odd to suggest that computers would have trouble in numbers games like war/trade war/resource allocation. These are essentially reducible to games, and with Go out the way, it doesn't seem that figuring out the best tariffs to pass or best places to bomb would require much more logic.
Maybe I'm being naive, but I think your conceptions of the limitations of machines are founded on essentially nothing. There's little, philosophically or scientifically, in the way of physicalist/functionalist conceptions of the mind that supports your viewpoints!
There's little reason to doubt, in my eyes, that our brains are extremely complex machines, running on electrical impulses and neurotransmitters, to produce responses to stimuli. As such, I don't see why you would privilege our machines over another machine. Why is our learning experience different from that of a machine? Do we not learn from trial-and-error, from explicit (social) rule-programming, from inference? Is evolution really at odds with computers? Some ML algorithms already boast "evolutionary" traits. And are our 5 senses really so sharp? What about beings who "see" all EM radiation or feel rumblings deep in the earth, like a seismograph does?