Partly. One of the refutations is that they say there will be substantial economic impact on authors from generative AI, which is one of the four criteria in OpenAI’s fair use claims (point #4).

You’re right that the complaint seems to go “all in” on this one particular point, rather than listing reasons to refute points 1 through 3. That seems surprising, but maybe it’s a good legal strategy since there’s less attack surface to raise objections.