No, you misunderstand. The human involved is explicitly claiming the work was entirely AI authored, and that it should be given a copyright registration with the AI as the author.
The human is not claiming that they should get a copyright as the author for the reasons you describe. Had the human claimed authorship, the results of the case might have been very different. This case seems to have been engineered to lose for publicity, rather than being a serious attempt to secure copyright on the work.