verizon charges end users for access to it's network which includes using it's peering connections with other carriers to hit sites not directly on the verizon network. what those end users do is subject to it's terms and conditions, some of which make it very clear that once you leave the verizon network, there are no service guarantees, because it's outside Verizon's control.
assuming a model where the carrier is providing dumb pipe (which they are) and said carrier manages resources in an even handed manner (which, considering they manage bandwidth, I'd have to say they are), the carriers job is to ensure no single entity can dominate what is a public shared connection. If that breaks netflix, that's on netflix, not on verizon. the easy fix is to buy a connection into Verizon. there is nothing new, revolutionary, or wrong with that, unless, apparently, you want to squint at it funny, demand that a carrier is responsible for end to end service, even if they don't own the entire path, and dream up some fantasy where 'evil corporate ISPs are out to ruin my business model by making me pay for access, when I already pay someone else for internet!'
you don't buy a 'netflix' pipe from Verizon. Unless Verizon had some means of guaranteeing performance to Netflix, it would be legally questionable to describe their service using another company's brand.
furthermore, Verizon's user base gives them some power over the negotiations with how to move netflix's product onto their infrastructure. being a 'net consumer' of bandwidth has zero to do with the infrastructure they have to maintain in order to support the eyeballs they feed. nobody gives them bandwidth to feed those eyeballs, they have to exchange or pay for it. why is netflix different?
if netflix wants to do them a 'favor' by giving them something that is going to make their network management problems worse, as well as suck power and space in their data centers, Verizon has the power to say 'no', and netflix will feel it.
put another way, you don't get to walk into my house, and demand I buy new furniture because you're dating my daughter. and you sure as hell don't demand I pay for the limo and hotel room every weekend so you can wine and dine her! and then having the balls to take an ad out in the paper telling the whole world I'm preventing my daughter from enjoying you're charms by not giving YOU everything you want for free? please.
but again, miss understanding the role of the carrier here is the fundamental mistake this entire discussion makes.
the only way you could accuse them of double dipping, is if they sold netflix a transit connection, and then made them pay extra to 'expose' them to their user base. which is NOT happening.