First, I want to make something clear. The courts 100% agree with you. In fact you don't even need to bother with a bunch of antennas under the older version of the Copyright Act. But in response to cable companies winning their case Congress amended the Copyright Act to undo the decision and make rebroadcasting in (pretty much) any way a copyright violation.

Nothing about splitting or saving to disk or private copies or dedicated lines -- nothing about how the work is reproduced and transmitted mattered at all. You can't technical jiu-jitsu around a very human court.