Final answer:
Hearing loss due to an abnormal auditory nerve would not be restored by a cochlear implant, as the device relies on a functional auditory nerve to transmit sound signals to the brain.
Step-by-step explanation:
Amongst the options given, the type of hearing loss that would not be restored by a cochlear implant is hearing loss resulting from an abnormal auditory nerve. Cochlear implants work by converting sound into electrical impulses that are sent to the auditory nerve, which then carries them to the brain. If the auditory nerve itself is abnormal or damaged, it cannot properly transmit these signals, making cochlear implants ineffective. This is in contrast to hearing loss resulting from nonfunctional hair cells within the organ of Corti, fracture of the cochlea, or damage to the bones of the middle ear, all of which may potentially be mitigated by a cochlear implant.