A better metaphor would be:
A photocopier won’t copy documents by itself. If someone uses a machine to make a copy, they still made that exact copy. Whether that copy constitutes copyright infringement is a separate question.
Authorship still belongs to the user for AI outputs; their originality is debatable, though. These are two distinct concepts that people easily confuse.
Again, apply this reasoning to illegal AI-generated content: if humans are responsible for AI outputs, then they also have authorship of those outputs.
You’re denying another human’s authorship simply because they use a different tool from you.
Another angle you might argue is that you aren’t really “making” something unless you craft it directly. But then what about film directors, architects, or CEOs? Did they really make anything?
Again, you’re denying the role of human intention by gatekeeping the idea of “making” behind direct craft. That’s fine, but it’s a limited worldview.