I think it's less about needing 'net neutrality' regulation and more about separation of priorities. Basically ISPs shouldn't offer media delivery services.
An NSP should be permitted to deliver vertical content, please don't stifle the free market. The monopoly on access should not be permitted to impose a tariff on competition.
IIRC, phone companies are common carriers, but your Internet service provider is not. That's part of the reason for the Safe Harbour provisions in the DMCA.
Basically, the person providing you with access to the Internet, should not also be trying to provide you with other services that compete with 'the Internet.' It provides incentive for them to violate net neutrality to boost their bottom line (e.g. What if we charge people more for access to YouTube, while our service is free? What if we change to a metered bandwidth model, but put in an exception for our service?).