It's not a matter of intelligence or sentience. The key question is whether the output of a prompt is fully predictable by the person who gave the prompt.
The behavior of a paintbrush, mouse, camera, or robot arm is predictable. The output of a prompt is not (at least, not predictable by the person who gave the prompt).
I know the model doesn't contain a copy of the training data, but it doesn't matter.
If the copyrighted data is downloaded at any point during training, that's an IP violation. Even if it is immediately deleted after being processed by the model.
As an analogy, if you illegally download a Disney movie, watch it, write a movie review, and then delete the file ... then you still violated copyright. The movie review doesn't contain the Disney movie and your computer no longer has a copy of the Disney movie. But at one point it did, and that's all that matters.