The book's wrong!!!
One, you're not balanced. Nor will you ever be in asymmetric flight - have a look at the balance ball next time you're flying in steady, unaccelerated asymmetric flight. The forces may be in equilibrium but there will always be some sideslip. The key is to minimise it.
Two, taking off with a crosswind from the right, left rudder is applied to counteract the yawing moment generated primarily by the vertical stab. (Note: the moment generated by the vert. stab. is enough to overcome any yawing moment generated by the fuselage forward of the CoG (surface area is huge and moment arm is also huge in comparison to most of the fuselage forward of the CoG - even on an aircraft with rear mounted engines)).
Failure of the upwind (right) engine will require additional left rudder to counteract the yaw generated by the engine failure. Failure of the downwind (left engine) will require some right rudder but nowhere near as much due to the yawing moment to the right created by the crosswind.
Seems you already knew the answer to the question!! Treat the rest of the book carefully and good luck.
Cheers.
PS. Is Gary Bristow a former Navy or an Airforce pilot?? It may be different on an aircraft such as a fighter with rear-mounted engines very close to the longitudinal axis and substantial "vertical" surfaces ie. engine intakes, forward of the CoG. As an airline pilot though he should really know better, unless part of the book was "ghost written".