Yes, I have my bedroom tv hooked up like this. I ran a Cat6 for this setup.Works really great. The only downside of my setup is I have to watch the same tv channel as the Hopper. Unless you can advise me I can get different tv channel as to what's on the hopper.If that can be done, let me know how that works.
Maybe a possibility with the H4.
Seriously, with 16 tuners the H3 has it's a shame it doesn't have a dual output.