I suppose that with smaller ships the method with the second anchor underfoot could work quite well, reducing the horsing considerably.
However, cruise vessels have very large windage areas which will result in large side forces and a large yawing moment. The side force and yawing moment are probably too big to handle with this method. Also there is always the danger of fouling or entangling the anchor chains and then what? See here.
The Master, based on his previous experience, had the vessel use both anchors to reduce the swinging speed and angle of yaw of the vessel.