You cannot copyright a recipe, but you can copyright the product it produces, as evidenced by the wealth of food and drinks that are protected by law from being copied.
Can a person who works with wood and creates something unique from the wood then copyright their design crafted from the wood? What makes it art and not just glue, iron nails, and dead trees? This is what needs to be defined with AI. Right now everyone is so happy to jump on the anti-AI bandwagon that they blind themselves to issues regarding the law by claiming the art is lawless at best and stolen at worst, when in fact it is simply a new tool and a new medium.
Did authors who used typewriters rail against the new word processor? What about the editor that checked for grammar and spelling? Did they try to burn down spell and grammar checks in microsoft word? Is the art any less art if it has been created with a tool that allows for more ease than has been available in the past? Should we boycott the bakers that do not mill their own wheat? Or does the sourdough bread belong to the wild yeast cultures, and so owed recompense for all we have taken from it?
The argument can be made until the universe burns out, or we can accept that art is made by sentient life, and any tool used in the production of it cannot be considered an owner of that art, and if the only sentient lifeform involved in the creation of that art wishes to claim it as their own, then they should have the right to protections for their work.