If customers who watch Netflix are using more bandwidth on average than customers who don't watch Netflix, who should pay more?
If you think Netflix shouldn't pay more for their bandwidth (and then take it out of their customer), you're arguing that Verizon should pay for the extra bandwidth (and thus take it out of their customer).
The logical conclusion is that Netflix-watching users would be subsidized by non-Netflix-watching users.
Alternatives might be a special "Netflix" package sold by Verizon that has better quality interconnects to Netflix. Would you agree with that? Not very net-neutral though.