if there were, globally, no copyright at all in any "ai" generated images, and one confidently thought there never would be, then simply using the images, in the case that one only needed one or two images, would probably be fine.
however if there were large nations in which the law was still in flux or unclear, or one wanted to generate new images on the fly without fear of rate-limiting or refusal of service, then one would potentially wish to work out an arrangement.
you're almost bang on here, but don't forget "prefer not to say"! Also you only need that text box if you actually GAF (which many do but half the time you'll throw it away), otherwise some poor data-cruncher is gong to be filtering out 100 "attack helicopters" and fifty misspellings of "womnan"
however if there were large nations in which the law was still in flux or unclear, or one wanted to generate new images on the fly without fear of rate-limiting or refusal of service, then one would potentially wish to work out an arrangement.