I think people are forgetting something. Disney isn't doing all that well. To lose Dish Network would be a substantial hit to them. Dish Network has shown they will go without a channel, a popular channel, so Disney knows that Dish is willing to go the whole way and not bluff. That means Disney needs to take them seriously.
Certainly, losing ESPN would be a big hit to many viewers, however, there could be a way to deal with that with instant discounts to the Sat bill as Dish would no longer have to pay $5 to $8 per subscriber. Dish would also need to discuss with Comcast about NBC Sports moving to a lower tier to help offset the sports loss. I don't see how Disney can afford to lose the Dish Subscribers as it isn't like the Science Channel, ESPN is available on almost every package, so they would be losing tens of millions a month!
If Dish were to lower the bill on a short term loss of ESPN, that would make it harder for some to switch to an alternative, as Directv isn't cheap by a long shot, unless you have a good amount of equipment. And fighting to keep the price lower on ESPN is beneficial to almost every Dish subscriber, not merely the percentage that watch it. Disney is already getting a great deal of money just by forcing Providers to have to show the channel. They shouldn't be allowed to gouge us more simply because they over-bid on programming.