I don't think a private company could possibly swing that, but that general arrangement would be welcome as part of a copyright reform package. Like the mandatory licensing we did for song covers back when we cared more about pretending that copyright was meant to balance art and profits. You want to train on something? Fine, no need to negotiate 1,000,000,000 licenses, that would be impossible. Just check the registry for ownership and wire some cash.
And thinking about all our daily conversations that include data about businesses we patronize.. that is data / content AI can use too. Content we should be paid for alongside our pics, songs, videos and any human content we create that helps AI stay relevant!
It sounds to me like you're just describing the fact that these models are only trainable in the context of a functioning society, and are capturing that value. It's more than just the snippets of public conversation and paper trails, and it would be a problem in and of itself to try to account for what every person is owed in exchange for the marginal value they contribute. In other words, you're reinventing taxation and redistributive policies through the lenses of data proprietorship.