Humans is the most general intelligence we know about, so that is why we called it general intelligence, because we have made so many intelligences that are specialized on a specific domain like calculators or chess engines we need a word for something that is as general as humans, because being able to replace humans is a very important goal.

"AGI" means many different things to many different people: to me any AI which is general is an AGI so GPT-3.5 counts; to OpenAI it has to be economically transformative to count; to some commentators here it has to be superhuman to count.

I think that none of the initials are boolean; things can be degrees of artificial, degrees of general, and degrees of intelligent.

I think most would assert that humans count as a "general" intelligence, even if they disagree about most of the other things I've put in this comment.