It depends on a couple factors, most importantly, how hard is the paint. Harder paint, i.e. VW is more likely to finish LSP ready with an orange pad. Softer paint, i.e Honda, might be harder to pull off as it is more sensitive to micromarring that could be induced by the pad.
The best way to find out is to try it! Work the polish as long as possible (to be sure the abrasives are fully broken down) and reduce your pressure on the pad and speak of the buffer near the end to bring the gloss up better and see how it comes out.
You can always finish up with a white or black pad to be absolutely sure any micromarring is gone and see if it gives you any better gloss. You gotta test it out! Also, if you have still can't correct with ZPC/orange you will likely need to step up to a heavier polish or compound as ZPC is pretty mild.
-Frank
