What they are talking about is the idea of human-like general intelligence, and AI mostly doesn't try to do that anymore, although there are some people who are seriously trying and calling it AI and even a few who are sort of aware of what the AGI people are doing or have projects that are as sophisticated. But most of the researchers who are farthest along and most serious about it have been calling it AGI.

Anyway, you have to at least include AGI if you are serious about human-like AIs.