I conflate these things because they come from the same intentional source. I associate the copywrite chasing lawyers with the brands that own them, it is just a more generalized example.
Also an intern who can give you a songs lyrics are trained on that data. Any effectively advanced future system is largely the same, unless it is just accessing a database or index, like web searching.
Copyright itself is already a terrible mess that largely serves brands who can afford lawyers to harass or contest infringements. Especially apparent after companies like Disney have all but murdered the public domain as a concept. See the mickey mouse protection act, as well as other related legislation.
This snowballs into an economy where the Disney company, and similarly benefited brands can hold on to ancient copyrights, and use their standing value to own and control the development and markets of new intellectual properties.
Now, a neuralnet trained on copywritten material can reference that memory, at least as accurately as an intern pulling from memory, unless they are accessing a database to pull the information. To me, sueing on that bases ultimately follows the logic that would dictate we have copywritten material removed from our own stochastic memory, as we have now ensured high dimensional informational storage is a form of copywrite infringement if anyone instigated the effort to draw on that information.
Ultimately, I believe our current system of copywrite is entirely incompatible with future technologies, and could lead to some scary arguments and actions from the overbearing oligarchy. To argue in favour of these actions is to argue never to let artificial intelligence learn as humans do. Given our need for this technology to survive the near future as a species, or at least minimize the excessive human suffering, I think the ultimate cost of pandering to these companies may be indescribably horrid.