Well by that "logic" then I'm paying for MNF games on ESPN because I pay for the cable package that includes ESPN, heck by that "logic" I already pay for ALL games because even my nominally broadcast networks come to me via the cable company. So obviously that "logic" doesn't apply, so let's stick to what you actually said, you said that they make you pay to watch, they don't, you're wrong.
The NFL Package is included in your basic cable bill? It is not an add-on like HBO? If I want the NFL Network I have to pay an extra premium...if it were available to me. So, yes..that is paying for it.