Get the cyclo. There is a difference between virtually swirl free and swirl free. It makes a mirror finish with no swirls. If you are going to go to the trouble of polishing in the first place, don't settle for second best. As soon as you park yours next to one whose owner has spent the time and money to go the extra step, you will see the obvious improvement.
Also, as you go through the quarterly or semi-annual or annual polishing (depending on your climate) you will see a marked improvement. The shine just keeps getting better.
Additionally, you probably wont have to compound again if you repolish routinely. That's where the cyclo really comes in handy.
If you haven't been to
perfectpolish.com please go there. There is a link there to
The Airstream Polishing Project . The Mannings documented their every step to a mirror shine.