I see that you're fairly new here, welcome to the forums!
I think that with any scuff pad, fine sand paper or whatever you use, it will leave marks or patterns. If you use a pad in a back and forth motion, it will leave back and forth patterns, and so on. I don't see how you can avoid any patterns, whether swirl or otherwise, without using some sort of random orbital polisher.
I had an area that was quite corroded, and thought that 1500
grit wet/dry paper may be OK to use wet. I was shocked at how many scratches even that fine paper left. I quit using it after about 3 back and forth motions, and went back to the rotory polisher, followed by the Cyclo.
I don't know how much knowlege this adds for you, but this is my experience.
Let us know what you try, and how it works out.