I suspect this will be the first of many lawsuits over training data sets. Just because it is obscured by artificial neural networks doesn't mean it's an original work that is not subject to copyright restrictions.
I don't know why we're treating it as anything less than a human brain. A human can replicate a painting from memory or a picture of mickey mouse and that would likely be copyright infringement, but they could also take a drawing of Mickey Mouse sitting on the beach and given him a bloody knife & some sunglasses and it'd likely be fair use of the original art.
The AI can copy things if it wants, but it can also modify things to the point of being fair use, and it can even create new works with so little of any particular work that it's effectively creativity on the same level of humans when they draw something that popped into their heads.