I think what it tells us is that our cognition is capable of more than just language modeling. With LLMs we are discovering (amazing) capabilities and the limits of language models. While language models can do incredible things with language that humans can't, they still can't do something simple like sudoku. But there are neural networks, CNNs and RNNs that can solve sudoku better than humans can. I think that the thing to learn here is that some problems are in the domain of language models, and some problems are a better fit for other forms of cognition. The human brain is amazing in that it combines several forms of cognition in an integrated way.
One thing that I think LLMs have the capability to do is to integrate several types of systems and to choose the right one to solve a problem. Teach an LLM how to interface with a CNN that solves sudoku problems, and then ask it a sudoku problem.
It seems to me that if we want to create an AGI, we need to learn how to integrate several different types of models, and teach them how to distribute the tasks we give them to the correct models.