Hard disagree here, the modern western conception of art (around which the current legal and economic systems were constructed) is really opposite to the idea that the current AI tools should deserve any copyright.
Why ? The concept of art (the modern western one) is that an Art piece is composed of :

1. An Idea
2. A form that is given to that idea by a human artist.

The idea can be given by others, to be constructed by an artist. That is usually a Patron (from where Patreon invented its name) , in spanish Mecenas, that pays the work and directs what idea and even general form it will take (the social practice is called Mecenazgo in spanish, since english has no equivalent word, i will use that ). Example: The Sistine Chapel, which was conceptualized (and paid) by the Catholic Church, including themes and general style, and was given to italian artists like Michelangelo to give the final form, which they drew themselves, with the approval of the church authorities at the end.

The current Ai tools work exacly like the Mecenazgo:

• the human person gives an input (textual, or other), the AI goes brrrrrr, and gives back an image. the person can take ir, or re-iterate the cycle with further inputs until satisfaction.
• This is really analogous with how art production ocurred in the Mecenazgo: The human input is the step 1 (an idea), the AI does the step 2 (give form to the idea). The further inputs by humans is analogous to the rough drafts the artist had to give the Mecenas first, the Mecenas described in more details and specifications what themes and forms he wanted, and that repeated until the Mecenas was satisfied with the final form the artist gave back.

The current copyright legal and economic system gives the intellectual property to the ARTIST, that made the step 2, and NOT to the Mecenas of the step 1. Because the Mecenas only had ideas, and the one who made what is considered artistic work, that deserves the legal privilege of IP, is the artist. If all someone did was tell the AI what to draw (i.e. gave an idea, general theme and general form), then the person is only acting as the Mecenas. The MACHINE is doing the artistic work, and since the machine is not a human that deserves the legal privilege, ir should be considered non copyrighted or public domain, just like the picture some monkey took of itself some years ago.

This was not always nor everywhere the social interpretation of WHO is the agent that actually made the art. Before the Renaissance, the western societies considered the Mecenas of step 1 the TRUE ARTIST, because he-she had the idea, and the person that gave form to the idea was considered a low level construction worker like stonemasons, that did not even have its name recorded. If you are wiilling to go back there, we would have to fundamentally change our interpretation of art , artists and rewrite the Sistine Chapel as created by the Catholic Church , and michelangelo is irrelevant.