I think Kane says to bet this flop everytime because it acts as an information bet and given your reraise preflop, you will win it right there many times, thus avoiding the hard decision on the river. Also, I don't see many hands that are raised and reraised preflop and then goes check check till the river, so I think it's very optomistic to say you might win with AK at showdown just by checking all the way.