Which "old chestnut" is that?
Of course the recommendation is to use reverse; it's not harming the engine and it reduces brake energy. In the case of autobrakes, the function of the autobrake is a rate of acceleration, and it's a combination of whatever forces are stopping the airplane. In a given autobrake setting, a higher reverse thrust means less braking, less brake energy, less heat, quicker turns...but this doesn't imply that the primary means of stopping the airplane, or the most effective or most critical component, is not the wheel brake.