I think the variation, evaluation, and selection idea is a good, if not the only, way do do creative work.

I don't think I would attribute anything in that process that I would consider an AI to be incapable of.

The characterisation of variation like this would seem to rest on the same 'random but directed' crutch that some free will arguments rest upon.

There is no random but directed of course, there is random and there is caused, and there are things that use both as components, but the random remains wholly random, and the caused remains entirely deterministic.

I think there is a good case to say that, in many fields, AI is better than humans at evaluation.

To find avenues to consider, I'm not entirely convinced that human innovation is more than a heuristic that appears more chaotic by virtue of a inconsistent and opaque formulation.

Many aspects of ideas com from noting how some two things are different and then considering that axis of difference when applied to another thing.

The possibilities thrown up by this extremely simple method are vast enough to require multiple layers of evaluation, most could be dismissed out of hand by a quick 'This is nonsense' check that I suspect people do so often and at a rate that it wouldn't even rise to the level of consciousness.