A few points:
None of the big LLMs modify their weights based on input.
So it never learns which is part of intelligence.
Another point:
It has no internal monologue, no private thoughts, no self reflection and no autonomy: it doesn't exist outside of your function calls, does not (and can not) make guesses about the world and adjust based on those results... Nor do we have a good enough understanding of what's going on to fix that.
3rd point (example)
Let's take a hypothetical LLM was given some program to drive it out onto the Internet to learn and fix points 1 and 2. We'll call the program "consciousness" for the sake of brevity here.
Consciousness comes across a set of references to the latest meme. It queries LLM for what this meme means. LLM will spit out the best statistical match to what it has seen before... But if you've ever fed a hot meme into an LLM you'll know that it's 90% likely that it will be garbage.
So consciousness now needs to know that the LLM is wrong based on some sort of discrepancy with reality to then teach the LLM, however the only way consciousness can interpret the world is through the LLM, as already established. Consciousness doesn't know that the LLM doesn't understand because the LLM will give you a result regardless of if it knows or not. It's a transformer: it takes inputs and gives outputs. Always.
So we write another layer to make consciousness guess if the LLM is right or not, maybe by having a fuzziness factor output by the LLM to say how hazy its interpretation was. Now consciousness feeds everything about the latest meme into the LLM and asks again and the LLM very confidently responds... With the wrong answer. Because LLM training results are inscrutable (due to the lossy nature of transformation) this will happen eventually, if not every time.
How would consciousness ever define that the LLM had erred?
Human intelligence isn't just an input output weighted matrix, it's the interplay of very complex neuronal connections with literal hundreds of types of messages in the brain, all of which modify the nerves every time they're fired. Sometimes the message from a neuron will be different because the latest input was just enough to bridge that final gap.
An LLM has been trained on vast quantities of data sure, but the data maintained in it's weights is nowhere near the granularity and quality afforded by actual human cognition. It may have more things stuffed into it that the human mind could ever hold but it lacks the ability of a common rat to interpret anything.