Training data can be used "regardless of whether it is for non-profit or commercial purposes, whether it is an act other than reproduction, or whether it is content obtained from illegal sites or otherwise."
In a surprising move, Japan’s government recently reaffirmed that it will not enforce copyrights on data used in AI training. The policy allows AI to use any data “regardless of whether it is for non-profit or commercial purposes, whether it is an act other than reproduction, or whether it is content obtained from illegal sites or otherwise.”
That's really unexpected, but yeah, Terminator is just a movie, even if they find a way to go back in time to try to stop this one person who is creating the bad AI it won't matter, there are already so many others working on it at the same time.