To distinguish: Copyright is the exclusive intellectual property right, usually limited in time, to copy, distribute, adapt, display, etc. a creative work as a specific expression of ideas.
Moral rights are the related but separate rights of copyright holders to recognition for, anonymity in, and integrity of their works. They are separate from intellectual property rights, and attach to the person's inherent dignity and integrity — so much so that in jurisdictions such as Japan, China, and Korea the term was translated as 著作人格權, "personhood/personal dignity rights in creativity."
When scraping, non-attribution, and plagiarism by machine-learning (ML) models are at issue, the question is not only one of copyright and other intellectual property but of the personal/moral rights of creators as well. If a scraper takes a mathematician's work, and a model trained on this data uses it in a proof without citing the mathematician, the person's moral right to attribution is implicated in addition to copyright. If a human did this we would call it plagiarism or at the very least a poor citation practice, and I don't think anyone other than the most disingenuous and ruthless of AI boosters is willing to die on the hill that it's fine for ML models to output results that would be improper if a human had created it.