Artificial. General. Intelligence. The ability to solve (even partially or even badly solve) problems drawn from arbitrary problem domains without pretraining on the specific problem class. You can pose any problem of any type using natural language to an LLM and it will attempt a solution. That's literally all the term means.
You (and the rest of the media and many industry figures) are conflating artificial super-intelligence (reference point: humans) with artificial general intelligence (reference point: specialized/narrow GOFAI).
Reference class in this case means not an example but what the comparison is against. Superhuman means better than humans. General intelligence is defined without any reference to human capability levels.
How would you define intelligence in terms of optimization theory? Also intelligence implies more than just problem solving, in fact it's another one of those pesky hard to define things
You (and the rest of the media and many industry figures) are conflating artificial super-intelligence (reference point: humans) with artificial general intelligence (reference point: specialized/narrow GOFAI).