Lemper,
Yes that is another way of thinking. But if downwind rudder is already applied on the take-off roll to cancel the crosswind - then there would be less rudder available on that side for the pilot to apply to counteract the yaw of an upwind engine failure. Wheras with a downwind engine failure the pilot actually has more than the normal amount of rudder travel available to oppose the swing. I still think that the book is wrong. And as for the explanation of dutch roll which says that the upgoing wing actually stalls...!!