| As others have said, swirls are not introduced by a claying session UNLESS you have a severe twitch in your arm and shoulders.
Claying can actually "level" the high spots in a paint finish and can leave marks that resemble sanding marks. Using then a rotary with a cutting or polishing pad will finish out closing the paint.
As for the swirls, there is tons of info on this site for removing and hiding swirls. Lastly, if there was a glaze on the car from the dealer it would not have lasted through 5 washes.
Hope that helps,
Anthony |