Your hypothetical is an epic fail riff. There's a big difference between sharing your subscription services with others for a fee and providing people with the means to access something they have a pre-existing right to (OTA broadcasts from their own DMA). (For the sake of simplicity I'll ignore any contract you signed with your provider that explicitly prevents you from doing this since no contracts govern the relationship between OTA broadcaster and viewer.)
Not to mention that you're missing the point that each Aereo subscriber has their own individual antenna and remote DVR. Your scenario is a single distribution to multiple people which even if OTA would be illegal.
Funny note about your scenario, the head of HBO or it's parent company (I don't recall precisely) recently encouraged people to share their HBO Go login credentials with friends. If I can find a link to that, I'll edit this post to add it.
Here it is: bgr.com/2014/01/20/hbo-go-login-sharing-policy/ So you can already share your HBO without bothering to set up your virtual sofa!
Just don't charge for it!
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