> I feel the real question for China is: Can you have an AI that is smart enough to win a war or save an economy, but "dumb" enough to never question its master?
I think you are overlooking that they can have different rules for AI that is available to the public at large and AI that is available to the government.
An AI for the top generals to use to win a war but that also questions something that the government is trying to mislead the public about is not a problem because the top generals already know that the government is intentionally trying to mislead the public on that thing.