A question - how good a quality is this stream? Honestly I could never see myself watching anything on a device the size of a phone (even a tablet) - can only imagine it upscales pretty badly if you want to watch it on any decently sized device.
As your connection gets better, so does the quality. Phones tend to have a crappy connection, so they get crappy picture. Phone lines have crappy quality. ADSL is better. Broadband is even better.
That newfangled national network thats being rolled out ... yeah. That will do HDTV, easy.