I think the key is that the LLM is having no trouble mapping from one "embedding" of the language to another (the task they are best performers at!), and that appears extremely intelligent to us humans, but certainly is not all there's to intelligence.

But just take a look at how LLMs struggle to handle dynamical, complex systems such as the "vending machine" paper published some time ago. Those kind of tasks, which we humans tend to think of as "less intelligent" than say, converting human language to a C++ implementation, seem to have some kind of higher (or at least, different) complexity than the embedding mapping done by LLMs. Maybe that's what we typically refer to as creativity? And if so, modern LLMs certainly struggle with that!

Quite sci-fi that we have created a "mind" so alien we struggle to even agree on the word to define what it's doing :)