But we're not discussing ordinary savants like Peek. Such savants often hone their skills over decades, sometimes inventing their own algorithms or tricks and memorizing vast reams of data. Those are amazing, but not sudden. To analogize: Arnold Schwarzenegger was an amazing bodybuilder, but you can understand how he was possible; but it would be even more amazing if a couple people out there woke up one day and literally overnight they had turned into Arnold, and you would very much like to know how that was possible.
I saw a demonstration of this in this very old documentary once. Not sure what the latest research says but it doesn't seem this kind of situation is entirely impossible.