What homework.. if i may ask a dumb question?
My very limited understanding was such that this is a glorified text generator - however, it seems what is possible with text generation is allowing unexpected levels of competence and utility. To be clear, i agree with you that it's functionality is impressive and deep. However i had figured one area of research is in the very premise of "How good can LLMs without intelligence be?".
Is that wrong in your view?
(again, i'm not making a statement. I know next to nothing in this space. I just try to reach a layman's understanding on this subject and i use GPT4 daily)