IMHO if the paint on the rest of the bumper is fine then they bodyshop aint painted it correctly ie, sanding the origional paint away, priming and re-painting in red, although if you had just asked for them to be painted over the white paint then it was just a matter of time before the chipping happened, hope that helps a wee bit n y not try a tape test yourself to see if it does take paint off, saves ya a journey if it doesnt.
chrissy