I feel like this is what people often forget in the net neutrality debate. The pipe providers have a horse in the race (FiOS TV On Demand, XFinity On Demand) and we need to make sure they aren't rigging the race so to speak.
Going beyond that, they typically have a monopoly or duopoly as an ISP, while they're subject to competition as a TV provider.
Much of net neutrality can be reduced to "don't let monopoly ISPs leverage that into a monopoly in other services".
If Verizon didn't offer TV, this wouldn't really be a problem. If there were 17 other broadband ISPs to choose from, this wouldn't really be a problem. But Verizon does offer TV and they're one of two choices for me and most of their other customers, so it's a problem.