Never heard anything about white pixels saving power on LCDs. Source?
LCD's work on the opposite principle of OLED. With an OLED display there is no backlight, all the light is generated by the individual pixels. In this case to show black they just turn off, which uses less power because you are not powering the pixels. With an LCD, they have an always on backlight which shines through the pixels. In this case you have to let the correct color wavelengths through and block the rest to generate the color. So Black will use the most energy as it has to block out all the light, while white is simply allowing the backlight to shine through therefore using less power.