Let's say we change copyright to cover abstractions, then any human creator would be in deep trouble. Incidental similarities would make the creative act too risky.
It's entirely valid to consider the act of training via ML a right granted by the creator like reproduction or performing, simply on the basis of protecting human art. The comparison with human learning can be made irrelevant (and IMO it's not the same fundamentally).
This is currently a discussion about plagiarism (the ethics) and what the outcomes are from unrestricted GenAI. How copyright applies to GenAI is a question for later, informed by the discussion by society at large (and lobbyists).