Distinction without a difference. They pirated books for the purpose of using them to train their models.
The noteworthy thing here, IMO, is the judge seems to have explicitly stated that using legally-acquired works to train AI models falls under fair use.
Which seems to open the door to arguments like: I'm not consuming pirated media, I'm studying it for my aspiring content creation pivot!
I think it's a significant distinction. The original title implies that the training was illegal when the court actually found that the training was fair use. It implies that Anthropic was required to ask the professors for permission to train on their books.
What the actual ruling found was that the professors should have been paid some tens of dollars for 1 copy of their book.
(Whether you agree with it or not is another matter)