The Aereo decision also points out explicitly that "Aereo uses its own equipment, housed in a centralized warehouse, outside of its users’ homes. (my emphasis)." Language they included in both the syllabus and full opinion. In your diagram, the Aereo side is a very close approximation of the physical location of the devices, not so much for Dish.
With Hopper, Dish is not actually transmitting any content. The transmission originates from my home IP and routed directly to my current location's IP, not Dish's. DishAnywhere.com is only providing authentication services and relaying requests, essentially the same thing GoToMyPC does for PCs.
It's a muddy opinion, can't fault Fox for trying, but there is plenty in the decision to negate Fox's claims. There is also enough the court could side with Fox if it wanted.
I don't see an injunction happening in any event. Even if the court thinks the Aereo decision may apply, they would likely wait and address it in a final decision on the case. Fox still has to meet other criteria for an injunction, and there isn't any harm that can't be addressed with money if Dish ultimately loses.