I think the TV as such is mostly going to go away, at least the form with a tuner. Here in Norway the mean broadband connection is 33 Mbit/s, the median 24 Mbit/s and 90%+ have 4+ Mbit/s.
Here in the US, each individual "channel" can carry 19Mbps. That means your "mean broadband connection" can't even support TWO simultaneous channels at full quality. How many people are in each of those houses, sharing those broadband connections? And how terribly inefficient is it for everyone to unicast what could be broadcast one-time for all?
In the US there are currently 50 channels, for 950Mbps total, continuously. It'll be a while before everyone's internet connections get there. And that's just OTA. Cable services can broadcast many, many times as much data. I'd be inclined to say things could and should go the other way... with everyone getting a networked DVR, and popular YouTube/Netflix/Hulu videos pre-fetched when they are broadcast OTA.