Studies of LLMs belong in their own field of science, just like psychology is not being studied in the physics department.
That is a very interesting thought!
Interestingly enough, for a while physics used to be studied by philosophers (and used to be put in the natural philosophy basket, together with biology and most other hard sciences).
The intersection of physics isnt psychology it is philosophy, and the same is true (at present) with LLM's
Much as Diogenes mocked Platos definition of a man with a plucked chicken, LLM's revealed what "real" ai would require: contigous learning. That isnt to diminish the power of LLM's (the are useful) but that limitation is a fairly hard one to over come if true AGI is your goal.
¸That field is called Machine Learning.