I would make them pay for it to be done at a pro detailing place AND make sure you talk to the detailer before he starts to explain what the problem is.
The dealer would prolly just lather the car in a glaze and wax to fill in the swirls and pack you off till the wax washes off and the swirls re-appear.
If it is 'dull looking' thats pretty bad.
Maybe someone got a little enthusiastic when they were PDIing it and removing all the transport wax with a rotary and wool pad
Whatever it is, I would get it fixed properly, those cars aint cheap!