"Beauden is the kind of player, whether at fly half or fullback, who has the X factor to change a game with one play. He has lightning speed and can do freakish things that are beyond Johnny and Owen," Carter told the Times.
Carter said there have been questions over Barrett's ability to cope with pressure but he would have learned from kicking errors in crucial tight encounters.
"In tight World Cup matches, your game management needs to be world class and there have been questions over Beauden," Carter said.
"He is a class player with a cool head, who reads the game well, and there are no worries there. He will learn from his setbacks — like against the Lions when he missed some kicks. The closest thing to a World Cup is a Lions series in terms of being able to perform under pressure, so if he is in a similar situation I am confident that he will have learnt a lot."
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