> However, a human prodigy can apply their genius to many domains
I'm not sure how true this is. It's pretty rare to find someone who is a genius in more than one domain. Einstein was famously offered the presidency of Israel. Sure, he could probably do well in other sciences, but he was smart enough to know he could not apply his genius to unrelated domains.
Of course there is domain knowledge that needs to be learned, along with non intelligence related characteristics, such as personality. But general intelligence appears to be widely applicable.
