Indeed, though they have it less, they feel it more. It comes not from the world or the flesh but from the Devil. It comes from Hell. It was the Devil's original sin, perhaps the only sin possible for a pure spirit. For there can be only one Number One.
Pride is essentially competitive.
The only way to become humble is to admit you are proud. In the Philippines, monkeys are caught by hollowing out coconuts and inserting sticky, aromantic candy to attract the monkeys, who put in their hands to grab the candy and can't get their fists out. They won't let go, even when their captors approach, and the end up as monkey stew. It seems raving nonsense to the monkeys, but it is simple sense. It ape's divine self-sufficiency.