It's not a necessary test for this case, but in general I would suggest using a legal test that is AI agnostic. Imagine there is a service where you can submit a prompt and get an image in return. You might submit a prompt like, "a man in steampunk gear sitting at a table playing with poker chips".
If a human artist draws an image based on that prompt, do you share joint copyright between the two of you? Or, does the artist have full copyright over the image they drew?
If your contribution was insufficient for joint copyright in the case of the human artist, then it was also insufficient to grant you copyright in the case of the AI artist. To know whether you have a claim on the copyright of the resulting image, you only need to look at your own creative inputs.
I am not a lawyer, but that is my expectation of where this will ultimately end up.
If a human artist draws an image based on that prompt, do you share joint copyright between the two of you? Or, does the artist have full copyright over the image they drew?
If your contribution was insufficient for joint copyright in the case of the human artist, then it was also insufficient to grant you copyright in the case of the AI artist. To know whether you have a claim on the copyright of the resulting image, you only need to look at your own creative inputs.
I am not a lawyer, but that is my expectation of where this will ultimately end up.