They are. It refers to the backlight and the naming helps separate it from LCD which uses fluorescent backlight. They both produce images on LCD screens and generally now the much higher performing systems are LED.
They aren't. They "use" LEDs, but they aren't LED TVs. Traditionally we've called displays by what's used to produce the image. CRT, as the tube produces the image. Plasma, because they used small plasma cells to produce the image. LCD because the LCD produced the image.
LEDs don't make the image, ergo they aren't LED TVs. LED displays use LEDs to make the image, not just for the backlighting.