and now it can produce books, music, or art in your style, then yeah its infringement
Seems like the opposite. Keeping the same legal considerations, but replacing LLM with a person
if I feed an imitator your work and now they can produce books, music, or art in your style, then yeah its infringement
producing a derivative work with substantial changes (like a new idea) is a classic, time-tested way to produce similar work while upholding copyright. If that's not infringement when ordinary people do it, then how is that infringement for LLMs?