The swirls are probably in the SS because that's how they wanted it to look. Any polishing compound would likely be hard/abrasive enough to leave swirls (or it wouldn't be capable of polishing it). The beauty of having such a material exposed is it can look however you want it to look depending upon how fine you go with the grit. Polish it to a mirror finish if you like but then it's going to highlight the slight waviness of the material. I'll probably experiment a bit but end up with a satin finish, kind of shiny but not mirror like.
The possibilities are endless. You could use a medium grit and a longboard worked in a linear fashion, using a different angle of stroke for the different panels to highlight the geometric shapes of each panel/crease.
Or you could give it a "shaggy" appearance like hair on an animal:
With a rough texture you could mask off portions and polish just those portions to a mirror finish to create a water scene, a racing stripe or a subtle company logo. The only limit is your imagination.