Fox claims that their contracts with Dish only provide a license to transmit the programming to the consumer. If that is the case, then a secondary transmission of the programming would have to be private. Since multiple people stream programming from live tv with Dish Anywhere, I predict that the courts, based on this ruling will force Dish to turn off the live streaming.
I don't know that Fox will argue this point, but if more than one person starts a DVR recording of the same content at "approximately" the same time, then even the DVR recordings could be public performances based on this ruling. I listened to one lawyer who conjectured that technology companies will have to develop technology to ensure that no two consumers are able to stream the same programming at "approximately" the same time.
Only 1 stream is allowed at a time with Dish Anywhere, and also if the courts go by that reasoning retail Slingboxes and all whole-home DVRs will also be made illegal.