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I will have to take a look at that paper. I didn't catch your edit before replying. It would certainly be worthwhile to verify that claim (or not) using the paper's model if I find some time. In any case, I think the underlying point is that these language models serve a purpose, but will not uncover an underlying structure for you or derive something like the phrase structure grammar proposed in Syntactic Structures. I may be extrapolating a bit based on other times I've seen Chomsky discuss this, though.