> copyright owners can dictate how their work is used (with some exceptions), and if that use hurts the copyright owner, the owner should have the right to forbid it.

Consider a poet who publishes poetry in some unique meter, or has some other unique stylistic structure for which they are well known... should they be allowed to sell copies of their poems that can be used for reading only, but prevents usage of those stylistic devices by other authors?

I'm going to assume that we agree the answer is "no, the author should not be able to prevent those uses" at least for human consumers of their works. This is how art has always developed... even though that use "hurts the copyright owner" by diluting the market for works with that style, the owner does NOT have the right to forbid it.

Now, let's say that same poet drew a lot of inspiration from a bunch of out-of-copyright poets. Let's also say that I train an AI model on the poet's inspirations, but NOT on the poet's work directly. Then I ask the AI to write a poem in the style of the poet's inspirations, and to include the unique stylistic device for which that poet is famous. In your world, is this OK?