In the Peter White article he refers to moving the saddle FORWARD to achieve this, which suggests a more upright position. In contrast I often see people here suggesting a lower, more "aero" position to achieve the "easily lift your hands off the bars" thing which is even something the op refers to.

Personally I think a lot of this comes down to riding styles and flexibility. I've found that if my butt and hands are happy on long rides most everything else falls into place.