The thing is these are two separate arguments.
One is whether or not training is infringement.
The other is whether or not there needs to be stricter filters on output to avoid copyright.
The second one is easy to both argue for and implement, it just means funneling money towards a fine tuned RAG model to detect infringement before spitting out content. I'd expect we'll be seeing that in the near future. It's similar to the arguments YouTube was doomed at its acquisition because of rampant copyright infringement, but they just created a tagging system and now people complain about over-zealous DCMA enforcement - generative AI will end up in the same place with the same results for cloud-based models.
The first is much more murky, and I'm extremely skeptical that the suits regarding it will be successful given the degree of transformation and the relative scope of the material in any given suit compared to the total training set. As well the purpose of the laws in the first place were to encourage creation, and setting back arguably the most powerful creative tool in history (particularly when it means likely being eclipsed by other nation states with different attitudes towards IP) doesn't seem all that encouraging.
If I were putting money on it, we'll see multiple rulings against training as infringement which will settle the issue, but we will see "copyright detection as a service" models pretty much everywhere for a short period until suddenly the use of generative AI by creatives is so widespread that its being unable to be copyrighted means business models shift from media as a product to a service.