The issue is that the AI's output is deterministic, and the prompts it uses are commonly too short to be eligible for copyright, not least because someone else could plausibly use the same prompt independently. With the same seed, the AI would then produce the same image. Or produce a similar image in response to a similar prompt.
If you could copyright that, you then have an enforcement problem, because the usual way to show copying is similarity, but you can then have two images that are similar yet independent. And some light Photoshop work is not going to eliminate the similarity.