I disagree with your view on creativity, and indeed find LLMs to be remarkably creative. Or perhaps, to sidestep the anthropomorphization issue, I find that LLMs can be used as tools to produce creative works, greatly amplifying one's creativity to the point that a "near 0 creativity" subject (whatever that is) can create works that others will view as profoundly creative.

In truth, I don't think there's likely to be a correct definition for what "creativity" is. We're all just moving each other's goal posts and looking at different subject aspects of our experience.

What I do know is that I have talked to dozens of people, and have friends who have talked to hundreds. When shown what LLMs and generative models can do, there's a significant portion of them who label this work as creative. Rather than deem these people ignorant, I would rather consider that maybe if enough people see creativity somewhere, perhaps there is something to it. LLMs creating poems, stories, connecting concepts which you wouldn't otherwise see connected, birthing ideas in images that video which had never existed before.

Of course, I'm aware that by this logic many things fall apart (for example, one might be tempted to believe in god because of it). Nonetheless, on this issue, I am deeply on the creativity camp. And while I am there, the things I get LLMs to create, and people I know do so as well, will continue to induce deep emotion and connection among ourselves.

If that's not creativity to some, well, that's life, full of creative ways to define creativity or eschew it from the world.