The pubic louse lives off blood it attains by biting your skin.
The obvious treatment would be a cream or lotion to kill the buggers. The hair is just an innocent bystander. If your personal desire is to shave the area, you could keep a closer watch on the success of your rx. However , if you don't plan to keep the area shaved, i think its a lot of needless effort that won't help you heal faster.