This would also be useful for people (like me!) whose only form of TV is satellite, therefore to get TV into a particular room you need a separate satellite feed into that room, which means a multiple output LNB on the dish and suitable cabling or a multiswtich distribution unit in the house - but you still need cabling to the room, plus a satellite receiver. There are already live TV streamers but the vast majority of them assume you want to view on a PC or a tablet or a phone (understandable I suppose, since if you wanted to view on a TV then "normally" the TV has its own reception device built-in, i.e. an aerial for terrestrial broadcasts, so why would you need something to stream live TV to a TV??) and you need specific (proprietary) software on the device to do this.
If the streaming protocol was DLNA then it would have global accessibility to all devices, as DLNA is now very common.
I believe the Elgato Netstream Sat has http and UDP accessible streams for its channels and there is one other well-known video card company (which is so well known I can't remember which one it is...) which provides DLNA streaming software for its TV cards.