let me clarify: a long hang pull over is just a pullover. makes no difference what cast or swing it comes from. essentially, the hips come to the bar and 'touch' down on the top of the bar while the shoulders are still 'under' the bar and the hands/grip are still on the top side of the bar where they first were when the long hang swing began.
in a baby giant, and a certain cast must take place to generate enough swing to perform the skill, the body (center of gravity) rises far above the bar. when the body rises above the bar the gymnast shifts their
grips around the bar to support phase ahead of the descent of the body. the gymnast 'catches' the swing at the top before it can descend. they then are able to lower their hips to the bar/support position and gently lower their hips to support. this phase is called a 'power down'.