What other general intelligence have we seen other than human? We know, of course, that animals have intelligence, but they do not appear to talk. How are we measuring general intelligence now? By IQ, a human test through words and symbols.
The g-factor of IQ may or may not have anything to do with general intelligence. The general intelligence of AGI is probably a broader category than the g-factor.
When I made my comment, I knew nothing about a “g-factor”.