Agreed that Carlsen has fantastic intuition.
But he also has a fantastic "mental database" of chess games. Many times in interviews or streams I've seen MC rattle off references to not just "chess classics" but games played by non-top level GMs. So maybe his intuition/pattern recognition was built on playing through and analyzing a huge volume of games.
Not to diminish intuition, which I agree is highly important.
Grischuk's comment on Carlsen on Twitter today made me submit this shorty
That was Carlsen's highly educated intuition whispering to his ear.
Carlsen's chess brain has collected models of thinking (or mental models known in psychology) from his experience over years. It is a mental map giving his thought quick intuitive orientation and direction at the board - without much thinking, erm calculation.
Now Carlsen stands upon his educated intuition as upon islands. It is so firm beneath his feet that he forgets their existence.
The rest of us, without a finely-tuned intuition Carlsen possesses are down below the surface of the sea.