Theres a big difference between a touch up and a spot repair.
A touch up is just what you described, they (MIGHT) clean the surface with a prep solvent, then dap on similarly colored paint out of a nail polish looking bottle.
A spot repair (most likely in this case) is where the paint is sanded off from around the indent. The plastic is heated and massaged back close to its original position, then any imperfections are filled with putty. Then they prime, paint, and clearcoat it, then heat it for about 15 -20 minutes with a heat light to speed drying time. This works great when/if they can match the paint color exactly. But if they get it wrong even by just a hair it will show up big time later down the road.