When I saw your earlier post, I assumed you meant to ask about 501, and not 601. All the damned #'s can get confusing, LOL. Whenever you do any correction work, as a general golden rule, you always want to start out with the least aggressive pad/polish combo and then work up the ladder until you get your desired result. (I'm sure Mike will have an article on this topic if you search). The other thing is that nobody can assess your paint but you. So, yes, 501 may work with a white or green LCC or B/S pad, but you'll have to try it and see. If not, go to Megs 205 and finally M105 depending on how hard your paint is or how deep the swirls go. I'm hoping the 501 will do the trick for you. DG 671 is also another alternative that is more aggressive in correcting than 501, yet is also a one step type product. I've used it with a Surbuff pad even with good results.
If you end up going with a stronger polish, still use 501/601 at 4:1 on a white pad for stellar cleaning and then top it with 105/601 for the win. Let me know how it works for you, either in this thread or by PM pls.