If you are working with some harder paints, a very aggressive compound can still finish out LSP-ready, or close to it. For instance, while SIP + white pad may require a follow-up on the soft Lexus solid-black paint, it certainly is almost flawless on the BMW Black Sapphire paint.
If you are still seing some hazing after using an orange pad, followed with the white pad, I would suggest using a light cut polish to go over the area again with the gray finishing pad. However, you have to make sure that the hazing is not caused by the orange pad and the aggressive polish you previously used, or the move to the gray pad to removing hazing will be useless. Generally speaking, on the softer paint surface, following up the white pad with a gray pad is almost crucial for the appearance of the paint.
Back to the original point. Although I have never detailed a GM vehicle, I believe the
Lake Country Orange, White, and Gray pad are perfect for the
Menzerna polishes on a wide variety of paints. You choose the least aggressive pad and polish required to remove the swirls or scratches, then you follow up the process with a less aggressive pad and polish to enhance the gloss. This is the general formula being utilizied by almost everyone here.