If you've ever worked with open source models (eg one of the stable diffusion models or models based on them, using tools such as AUTOMATIC1111 or ComfyUI); you can inspect them yourself and simply see. If you haven't done so already, see if you can figure out the installation instructions for one of the tools and try!
Meanwhile ...
Ok, fine, I've heard some crazy compression conspiracy theories, but they're a bit too crazy to be credible.
I've also heard stories about these models being intelligent - a little artist living in your computer. I think that's going a bit too far in another direction.
In reality, I think it's better to install the software and take your time to learn about the way these models are actually built and work.
[ btw: If Miyazaki were to take this to court with the argument you put forward, he wouldn't get very far. "Please remove my images from your systems in whatever form you are holding them". The response for the defense would simply be: "We don't actually have them, and you are quite welcome to inspect all our systems". ]
(Incidentally, I've been here before. I play with synths as a hobby! ;-)