Compression has the property that almost all inputs are reconstructable. Generative models have the property that almost all inputs are not reconstructable.
I was very dismissive of the anti-AI-image crowd until I saw that Anne Graham Lotz pic. Only a single known source image of her exists, although many copies of it are distributed far and wide across the internet, and using her name in a prompt results in an image that seems very much like a lossy reproduction of the "original." It's an edge case, to be sure, but that demonstration looks like lossy compression, even though it's not.
https://duckduckgo.com/?q=Anne+Graham+Lotz&t=brave&iax=image...
I see dozens of images of this woman (who is apparently some kind of minister). Okay, I'm clearly missing something here. Can you explain further?
I just put my local copy of Stable Diffusion to work cranking out images based on an "Anne Graham Lotz" prompt. So far, none of them look anything like the original image. It has generated one of her wearing a similar-colored shirt, but the pose is completely different, and as noted above, she seems to like that color.
The complete set of "matches" they got were interesting, even while the number was very low.