The LLM output, is not the same as the input - there is value add.
Of course works used as raw inputs to LLMs required work and are reasonably subject to IP concerns - but they are different.
It's possible that the LLM makers 'owe' the content creators that created the content they used to make their products - it's an interesting but separate question.
We could very well end up where content IP is protected, LLM output is not and visa versa with reasonable legal founding, doubtful but plausible.