When you say "polisher swirl marks" are you saying the hologramming done by rotary polishers? Or, are you using the common vernacular of "swirl marks" that most everyone uses to describe normal scratches on a car? The reason I'm confused is the latter is more accurately referred to as spider webbing, as you mentioned as well.
Just want to be clear. Either way, a good dual action polisher like the Rupes or the Flex (and even others) can get those out in the hands of a fairly skilled detailer, especially with the right polish.