Am still confused regards the edge lit and back light bits. The other thing is the 100Hz refresh. That is starting to get completely comfusing as well. As there are 600 Hz and 800CMI and other abrviations on various TV brands.
AFAIK the edge lit (6xx) uses LEDs around the edge firing toward the centre of the screen, parallel to the glass, and essentially prisms to bend the light so it comes out of the front of the screen. Basically it's the LED version of a standard cold cathode lit LCD screen.
The 'full back' LED panels use a whole second 'panel' of backlight to shine directly out through the LCD matrix; some sets use this to switch off areas of the backlight entirely when they detect dark scenes to improve dynamic contrast and black levels, though I don't think the Aquos does that (and, indeed, on sets that do this most people end up turning it off as it has some annoying side effects like halos and dark patches).
That's my understanding, anyway..
The refresh rate stuff .. I'm not sure about, to be honest. You're right that it's an entirely confusing minefield - especially when, as you've found, manufacturers don't agree on what 'refresh rate' is!