It’s likely that gifted individuals inherently analyse situations and people more critically and this gives a better understanding of physical reality and how others would react in different scenarios, which can seem almost psychic/magical.

I wondered if the late author, Terry Pratchett, was alluding to this with his main character in ‘A hat full of sky’, Tiffany Aching, an eleven year old nascent witch who, amongst people who seldom gave anything a second thought, learned to harness the power of third (and even fourth) thoughts.

“First Thoughts are the everyday thoughts. Everyone has those. Second Thoughts are the thoughts you think about the way you think. People who enjoy thinking have those. Third Thoughts are thoughts that watch the world and think all by themselves. They’re rare, and often troublesome. Listening to them is part of witchcraft.” - Terry Pratchett