They can repair the area and blend, repaint the whole bumper or repaint the bumper with a blend to surrounding panels. Which one works best depends on the skill of your painter. Most new paints seem to be tough to match, not just yours.
Painting the entire bumper may show differences in the adjoining panels.
I'd always start with the least invasive. Your painter may need to play with a few mixes to get it right, not just pull a code and spray.
So to sum it up, find a painter with skill.