The Los Angeles Times said Lythgoe believes the winner of the higher-profile "Idol" would have a name-recognition advantage in a competition with "The Voice" and "X Factor" winners in any battle.
"The problem is the 'Idol' winner will be a star by then," Lythgoe wrote.
The Times said the idea comes at a time when "Idol" has seemingly lost some steam in the ratings while "X" and "Voice" have been trying to come up with competitors who have a higher degree of visibility among the public.
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