You are right that there are intelligences possible that are not human. Then again, if one is sufficiently intelligent, one could probably convincingly simulate human intelligence. There are chess training programs for example that are specifically trained to play human moves, rather than the best moves.

When prompted, chatgpt answers you as if it is a pirate.

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”.

Intelligence is a tool of the human self, not the self.