All of this argumentation seems hopelessly confused by different assumptions about what a "cognitive" approach is supposed to be.
For the record, I suggest that everybody who is arguing about whether a cognitive approach is consistent with a corpus-based approach look at the papers that were presented at the founding meeting of the Cognitive Science Society. The early archives are available for free download:
The charter for cognitive science was a very broad interdisciplinary approach, and they explicitly tried to include all of the positions that everybody has been arguing for and against in these recent emails.
Wolfgang's roughly Wittgensteinian approach is as solidly within the mainstream of cognitive science as Chomsky's appeal to intuition. Personally, I prefer Wittgenstein to Chomsky, but I wouldn't kick anybody out of the party just because they had a different preference.