I doubt it, that would be like someone setting up the hypothetical "swinging paint cans" for public use then trying to claim copyright on the product. I think the slam dunk case would be you create your own system, train it on data you own, and then you own the output.
Again, this doesn't strike me as a useful standard for copyright, but I think it's the state of the law today. Obviously with new technology there's a need to revisit the law, and honestly even without the new tech copyright law was already a steaming mess.
I bet I can create a machine that uses those 10 cans of paint to do computations. That's all a computer is, really. Those 10 cans of paint swung by an artist are a creative endeavor, but my output as a software engineer with the 10 cans of paint is not? Seems arbitrary and unfair and probably shouldn't stand careful legal scrutiny.
Again, this doesn't strike me as a useful standard for copyright, but I think it's the state of the law today. Obviously with new technology there's a need to revisit the law, and honestly even without the new tech copyright law was already a steaming mess.