And? That does not address the question and note how you used "work of art" instead of code.
The fact is that lots of things can be "work" but that we as society do not want to bestow copyright for them. Again, the question is not "did someone put in work to make a good API?" but "are APIs something that should be copyrightable?".
Going with the recipe analogy: Society might be willing to give you some kind of recognition for "Joe's sandwich with this detailed recipe", but it is not going to give you an exclusive monopoly over "any and all dishes consisting of (bread, topping, condiment, vegetable)". Copyright is intended to reward creation, not to stifle any sort of however far away competition.