If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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There's overwhelming data that parenting can prevent language acquisition. But that requires extreme degenerate cases - essentially child abuse on the level of locking the child in the closet and not talking to them at all.
For typical parenting, I agree that it is unlikely that variance in parenting style has measurable effect on language acquisition.
And what about the size of the vocabulary?