I think you are being purposefully obtuse.
E.g.
"The burden of proof when republishing the output of AI generated content is on the person publishing the generated content. All unlicensed sources must be cited in a public searchable index."
With this, if you're a company and you accidentally use the output of Generative AI you have liability if the work is infringement.
This gives companies an incentive to have licenses for their content but doesn't strictly prohibit ~linking~ sourcing from publically available content.
This will also allow the industry to use publicly viewable content to push the boundaries of generative AI in a research capacity without fear of liability.
A person could tell a sufficiently advanced generative AI trained on licensed data to recreate something under copywrite by just describing it. You would not be able to publish that output.
Do I need to cite the math textbook that I used to learn algebra when I write a book on calculus?
Yes, you do, if you put verbatim snippets of those textbooks in your own work.