I don’t believe that the body motion you refer to as translation is properly so termed. Instead since the head remains fairly fixed, the motion of the upper body should be understood as rotation. Translation means a uniform movment of the entire figure in the plane, while if a point of the figure remains fixed it’s a rotation.
As far as I can tell, the golf swing involves rotation in all three planes in which the body moves, each movment being fairly easy to perform: the body rotates or twists around a vertical axis, the upper body rotates around a mostly horizontal axis perpendicular to the target line near the upper torso or head ( the hips sway and the shoulders rock), and the uppper body rotates around a horizontal axis near the hips that is parallel to the target line (the upper body extends and flexes). So, you spin, sway, and lift your head…all the things you are told not to do.
