Certainly not in the US. From the article you linked "In the United States, in the absence of a TDM exception, AI companies contend that inclusion of copyrighted materials in training sets constitute fair use eg not copyright infringement, which position remains to be evaluated by the courts."
Fair use is a defense against copyright infringement, but the whole question in the first place is whether generative AI training falls under fair use, and this case looks to be the biggest test of that (among others filed relatively recently).