Copyright is a social construct, not an inherent property of the universe. It is whatever we collectively agree it is.

In practice, we seem to be leaning towards the idea that training on a copyrighted book is wrong if used to replicate or paraphrase that same book, but not if used to teach a model how to write better.

Property right is a social construct. That doesn't mean you just get to claim "in general I am right" and do whatever you want.