Simple rules can generate great complexity. But that complexity only arises when you execute the rules. To do so, you need a physical computer -- a CPU, a brain -- of great complexity. No free lunch.
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It's still got something of a free lunch feeling. Generically interact with a generic low-temp bath, voila, you can be in a remarkably complex low-temperature state.
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From a bayesian point of view, those exact same computations are a strikingly expensive lunch without strong simplifying assumptions. You're coarsing over a lot of complexity with language to make your point.
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