I agree, Conn! The more more muscle-tendon groups you involve in moving the whole body, the better the result. So if your hips and back, etc. are contributing power, not just going along for the ride, your whole-body motion will be stronger. The reason is they are not contributing drag on the body's motion. Depending on the motion, they are contibuting thrust, a little or a lot.
The way I look at it is, if some part of the body can contribute to the motion, it should, rather than riding along passivlely and robbing strength and speed.
Visualizing the forces involved is a good way to get to this, whether you think about three vectors, six directions or eight jins. We are merely talking about different coordinate systems. Whatever happens is, of course, expressed through the body, not the geometry. The body works the same whether you talk about jins, vectors or directions.
This applies to any sort of move, not just the bitch slap example you started with, but you knew that part.