I figure that 1366x768 was settled on by all parties for a wide range of reasons. Not the least of which being a primary goal of TV makers and end users like, to obtain the best results they can while spending as little as reasonably possible. The 1366x768 display resolution fits into this nicely because that is just about as much resolution as 20/20 eyesight can resolve when seated at a normal distance from a given size display.
For example, with a viewing distance of around 10', a person will likely chose at display size of about 50". At that distance from that size of display 20/20 vision will resolve a bit more than 720p, but anything beyond 768p at 10' and beyond on a 50' display will effectively be downsampled by the eyes anyway. And of couse the same holds true for smaller displays which people will generally sit closer to and larger ones which people tend to sit further back from. Hence, 768p makes a practical display resolution for a wide range of display sizes.
For example, with a viewing distance of around 10', a person will likely chose at display size of about 50". At that distance from that size of display 20/20 vision will resolve a bit more than 720p, but anything beyond 768p at 10' and beyond on a 50' display will effectively be downsampled by the eyes anyway. And of couse the same holds true for smaller displays which people will generally sit closer to and larger ones which people tend to sit further back from. Hence, 768p makes a practical display resolution for a wide range of display sizes.