But there's no such thing as.a person who is flawless at maths but has no concept of a musical instrument or navigating a city, or moving their limbs, or communicating, or eating, or setting itself any goals, or achieving any goals other than answer the math question.
General intelligence isn't a claim that all humans are polymaths. It's a claim that AIs are so overfitted to succeeding in one narrow human domain like rearranging ASCII strings they fail to achieve infant-level (or even worm-level) competence in virtually all others, and that it responds to new situations by assuming they're an instance of what it has been trained to do rather than considering different approaches.
General intelligence isn't a claim that all humans are polymaths. It's a claim that AIs are so overfitted to succeeding in one narrow human domain like rearranging ASCII strings they fail to achieve infant-level (or even worm-level) competence in virtually all others, and that it responds to new situations by assuming they're an instance of what it has been trained to do rather than considering different approaches.