You can polish a car so it looks mint in the shop, take it outside in the sun and it looks like crap (or vice a versa). Alot comes down to how time the guy is prepared to spend on it. Once its had the runs and orange peel dealt with, it will need a heavy machine cut to bring it back up, whether it then shows swirls or not depend on his follow up system, or more likely the apprentice/shop hand who will be doing the actual polishing.
Swirls also vary by what pad they use, wool is be far the quickest but swirls pretty bad, foam pads are less prone to that, but have their own problems (like heat and grabbing), be interesting to see what they actually do with it, you should make a point of being there and watching, tends to improve the end result...