> Is a farmer entitled to the entirety of your work output because you ate a vegetable grown on their farm?

This is more like paying the farmhands.

If we're looking at my work output, eh, everyone that works on a copyrighted thing gets a personal license to it? That sounds like it would work out okay.

> I don't think producers of data are inherently entitled to all products produced from said data.

It depends on how directly the data is tied to the output. This seems pretty direct.