The way I read this, the preferred way to hit a Cut Shot (in order to avoid weakening the line of compression) would be to use a Square Plane Line with a normal grip and to simply lay back the Clubface through Impact by using Dual Vertical or Vertical (only) Hinge Action.
Playing a "Cut Shot" from an Open-Open Plane Line with the Clubface turned to the right (the way it is commonly taught) would produce some sort of a Slice Cut Shot, with possibly higher ball flight, slice curve and a tendency to hop to the right. This would weaken the Line of Compression, making it more difficult to control distance and direction.
Is this correct?
Great question. Definitions again. We need find out if you are talking short green side shots or longer fade procedure approach shots. Theres a difference