It's not about "analysis" but about for-profit use. Public domain still falls under Fair Use. I think you're being too optimistic about support for UBI, but I absolutely agree on that point. There are countries that believe UBI will be necessary in a decades time due to more and more of the population becoming permanently unemployed by jobs being replaced. I say myself that I don't think anybody would really care if their livelihoods weren't at stake (except for dealing with the people who look down on artists and say that writing prompts makes them just as good as if not better than artists). As it stands, artists are already forming their own walled off communities to isolate their work from being publicly available and creating software to poison LLMs. So either art becomes largely inaccessible to the public, or some form of horrible copyright action is taken because those are the only options available to artists.

Ultimately, I'd like a licensing system put in place, like for open source software where people can license their works and companies have to cite their sources for their training data. Academics have to cite their sources for research, and holding for-profit companies to the same standards seems like it would be a step in the right direction. Simply require your data scraper to keep track of where it got its data from in a publicly available list. That way, if they've used stuff that they legally shouldn't, it can be proven.