You've got that backwards (or I'm missing the sarcasm).
Dish has to pay Fox News to retransmit Fox's content (copyrights!), Fox wanted to increase the price and/or require Dish to carry additional Fox-owned channels as part of the same contract.
When Fox (or any other network in negotiations) claims that "Dish pulled the channel", they're stretching the truth. What they really mean is "the contract expired, and Dish cravenly stopped retransmitting our copyrighted content so we couldn't sue them for infringement."