you don't have to start dealing with 1366x768 vs. 1280x720 (why there's that different I have clue).
They use/used 1366x768 panels by design on 720p tv's. the whole point was to have the panel be non-native. That way the image is always scaled, and looks worse than a 1080p panel.
Because from 6-8 feet away few people would be able to tell the difference between a true native 720p and 1080p. the difference just isnt that big, and almost invisible to the average adult.
but when you suddenly force all the 720p tv's to scale to a non-native panel resolution, suddenly that native 1080p looks actually much, much better. because there arent any of the scaling artifacts.
what 768p panels do to 720p tv's is really a terrible thing. you end up losing all single-pixel details.
for example, things like telephone lines, or trees in video games. When you back away from them they should eventually resolve into a single pixel detail before eventually fading completely out of view, but on 1366x768 tv's that doesn't work because what happens when you scale 1 pixel from 1280x720 to 1366x768?
it becomes 2 or more pixels. because thats all the scalar knows how to do.
so now imagine details like cloth, fabrics, bricks, rocks, any kind of texture that is supposed to have details in it that pop out end up getting smudged by the 720p - 768p scaling process. i know because I own one of these TV's, it doesn't look terrible, but it doesnt look great.
the fact is most 720p tv's can never display a native image and that is why 1080p tv's actually look better. it doesnt actually have all that much to do with raw pixel count, but how the image itself is mapped by the tv to the display.