Digital is digital, there is no loss of quality by sending the bits a long way, look at those mars lander photos and video, the hubble telescope.... The bits are transferred (downloaded) to your local player, either via a disk or file, and then sent a short distance to your monitor.
The video distributer has a wide variety of compression choices to save space and bandwidth, however, and there is where many digital artifacts are generated, with their differences in look an feel (many others are generated in the monitor itself). 1080p from different intermediary sources are not necessarily the same. BR is also compressed to fit on the disc. Artifacts are introduced by the video camera used. You can see the difference between look and feel between the various OTA broadcasts, each having their favorite video compression which have a different look. Given it has the same master, the video from a 10GB BR disk may have more artifacts than the 10GB video file on your hard drive, however that 10GB file got there. There is nothing analog until it gets to the monitor, its not the same as vinyl records. Sony likes to market BR as the best thing since sliced bread, but its just marketing, its well known the video results are full of flaws. So just how many flaws are you willing to live with?
Now the rest of the family could care less (as well as a vast majority of viewers), but I'm a technocrat and enjoy those crisp lines and deep color that a quality HD Video can bring out regardless of source. You can find plenty of poor quality video on BR out there too, and the sound is generally terrible. Very few releases are close to my view of pristine. Garbage in is garbage out no matter how high quality the bits are. My 60 inch kuro plasma brings out video flaws and separates the men from the boys nicely, things you are not going to see on small 50 inch screens. Now don't get me going about how monitors destroy quality video, and how most so called video purists have there monitors set to distort the video, just because the video feels better to them....
Its nice to have choices... and then you get into choices of CODECs... on and on.. Instead of burning discs, I save the HD footage I shoot to a iTunes library and play via my AppleTV, very nicely.