alt Hacker NewsLarge Language Models is a misnomer- these things were originally trained to reproduce language, but they went far beyond that. The fact that they're trained on language (if that's even still the case) is irrelevant- it's like claiming that student trained on quizzes and exercise books are only able to solve quizzes and exercises.
It isn't a misnomer at all, and comments like yours are why it is increasingly important to remind people about the linguistic foundations of these models.
For example, no matter many books you read about riding a bike, you still need to actually get on a bike and do some practice before you can ride it. The reading can certainly help, at least in theory, but, in practice, is not necessary and may even hurt (if it makes certain processes that need to be unconscious held too strongly in consciousness, due to the linguistic model presented in the book).
This is why LLMs being so strongly tied to natural language is still an important limitation (even it is clearly less limiting than most expected).