Not many as Directv's increases are alot less than dish's. People forget that Dish's equip fees are going up like 10 bucks. Where as DirecTV's doesnt have any.
Dish's equipment fees are going up $10? The only thing increasing are the packages and people with the old Hopper pricing. The Hopper increase only affect a small portion of customers.
I'll bet DirecTV customers will have little idea that Dish had a price increase and even if they did know they'll see that it's still half the price as DirecTV when looking at the promo price. All it takes is a price increase to push a lot of people over the edge and all they look at is the intro price. Even after the intro price they'll see that their final price is still cheaper or similar than what they had with DirecTV.
Dish customers are going to do the same. Their bill increases and they see that DirecTV's intro price looks better than ever.