> As for your question, I don't see what it proves.

The author made a claim

I showed the claim was false

The author bases his argument on this and similar claims. Showing his claim is false says he's argument doesn't hold

  > and is only incorrect by a broad characterization

I don't know of I'd really call a single item an "edge case" so much as generalization.

But I do know I'd answer that question differently given your reframing.