Not until the AI has some degree of agency. So long as it's a human selecting the AI, and pushing the "run" button (and deciding when) to push the button, that

Not until the AI has some degree of agency. So long as it's a human selecting the AI, and pushing the "run" button (and deciding when) to push the button, that generation machinery is just a tool of the human. Pretty much by definition, to be totally generated, it's got to have the agency to determine what, when, and even if, it should generate.