Should I consider using q-switched laser treatment for discoloration of skin following beard transplant? (photo)

I received a facial hair transplant approximately 11 months ago. Since the surgery I have had a lingering purplish/brown hue in the recipient area. The color has subtly improved with time but not much. Based upon my own research I believe this is either Post-Inflamatory hyper pigmentation or possible even hemosiderin staining. I have received feedback that the doctor went too deep with his implants although I'm not sure if this was necessary related to the discoloration.