'Training data' isn't the right phrase for what's used to train generative AI models - it dehumanises what is, in reality, human creative output. This isn't data - it's books, artwork, music, and more.
Calling it data makes it sound like it's just a low-value, anonymous input to the model. It's not. It's creative output that people have poured time and effort into, without which the model wouldn't work.
It may be better to refer to it as 'training media'. Even if just to remind people that this isn't 1s and 0s - it's people's creative work.