I can't speak to that video, but I would recommend the micro-mesh abrasive system. It comes in grits 3200, 3600, 4000, 6000, 8000, 10000. You start with the 3200, and use them consecutively, finishing with the 10k grit. They work great, and you can polish out the orange peel in gloss finishes, or smooth the plastic before laying down a natural metal finishl, so they're versatile.
Glenn