Impact of a negative Aereo decision on cloud storage providers

Can anyone explain this thrown-in paragraph at the end of Vox's "What is Aereo?" card by Timothy B. Lee? Seems like a very major point to gloss over like that. Nilay, Matt, anyone?

"The case, which the Supreme Court is scheduled to hear on Tuesday, April 22, 2014, could have profound effects on the Internet economy. That's because the Cablevision decision is the legal foundation for cloud storage services like Dropbox and Amazon Cloud Player. A loss for Aereo could call the legality of those services into question."