Most customers match the color of the hardware installed throughout their house. Choosing a color that most closely matches the shutter color de-emphasizes the hinge.
Unlike shutters, however, hinges cannot be painted to match the shutters. Often, the white and off-white hinges are relatively close to the color the shutters are painted. The hinge color has little impact on the overall appearance of the shutters. In most cases, only the narrow edge of the hinge is visible.