Earlier quoted context omitted.
The SC ruled that the number of antennas or where they're located is not the heart of the issue. Aereo effectively supplied a data stream with broadcast content to subscribers (just like a cable tv company) without licensing the right to supply that content. The issue is commercial rights, not technological means. If you personally lease space for an antenna, and engineer a means to get it to your TV to watch, that's…
Aereo effectively supplied a data stream with broadcast content to subscribers (just like a cable tv company) without licensing the right to supply that content. This is also what ESB would be doing by letting people rent antennas and streaming servers.
Aereo is selling streaming TV service that just happens to use antennas in the backend.
You might say, it's all the same in the end from a technical point of view. And you're right, but the law doesn't care about the technical point of view. From the legal point of view, Aereo is selling TV streaming, and must comply with laws for TV streaming.