The label "AI" just refers to a computer doing something (maybe just one thing) that previously only a human could do. If you want to refer to a broader set of capabilities, then the usual term to use if "AGI" (G=general), but even that doesn't mean "capable of everything intelligence-related that a human can do".
Of the big companies working on AI, only Google DeepMind defines AGI as broadly human level (and note that it'll require a number of major breakthroughs to get there).
So, yes, per the above definitions LLMs are one form of AI, but they are not AGI, and certainly not human-level AGI.
Ask 100 people what "intelligence" is, and you will probably get 100 different answers, but most would intuitively include ability to learn as a key part of that. Even a bird or a mouse can learn, but an LLM can not - it is more like a fixed database or expert system of knowledge.
Ask an LLM today should you walk or drive to the nearby car wash and it'll say walk since it is nearby. Now explain to it that you can't wash the car if the car is not there and it'll probably admit you are right. Now come back tomorrow and ask the same question and it'll give the same wrong answer. Is that human level intelligence to you?
Creativity is another major thing missing. An LLM is only capable of generating output composed out of the language and phrases it was trained on. It can generate a lot of variety for sure, combining the stuff it was trained on in various ways, but it is never going to be able to come up with something truly creative for a variety of reasons.
1) LLMs are not designed to do that. The name says it all - they are language models. They are designed and trained to predict (i.e. copy) language. They are copying machines, not creativity machines.
2) An LLM has no mechanisms of curiosity or boredom, or knowledge of what it "knows" and does not know (this is why they hallucinate - they are just a bunch of statistics). They are just not built to be able to explore and learn based on the realization that they don't know something.
3) LLMs can't learn, so of course they can't learn anything new - be creative as opposed to just rehashing what they are trained on.
I could go on and on ... but if you are even a tiny bit familiar with how our brain is built and works you would have realized the above. Our cortex is at least 50% feedback paths that are there to detect prediction failure (reality != prediction) and to be able to learn from that.
You can call LLMs whatever you like, but the reality is that they are just copying/prediction machines. That is what they are built to do, and it is therefore what they do.