Originally Posted by user92626
Bora gave a good explanation.
For me I don't really think about hip rotation and whatnot. What I think about is increasing the swing range which means coiling fuller, and easing my arm into contact which means everything else loads and leads first. To do that the proper foot, in my case the left, planting for pivoting and pushing off the ground, like a sprinter taking off, is important to initialize a strong swing.
That is a great insight. It shifts the focus away from body rotation and towards a fuller swing which automatically brings the other elements into play without conscious action.