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Reminder: language serves a variety of purposes -- transmit information, act on the world to achieve specific goals, serve as a social lubricant, etc. Language cannot be modeled as a statistical distribution independent of these purposes.
This is akin to modeling the appearance of animals as a statistical distribution while ignoring the environment in which they live. You could use such a model to generate plausible-looking animals, but don't expect them to be able to survive in the wild (environmental fitness)
Animals evolved to fit their environment -- everything about them (us) is a product of environmental constraints. Likewise language is a construct evolved to fit a specific set of functions, and you cannot model it independently from this context.
Dark Room problem
Francois keeps dropping truth bombs 
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