I would have to say that a LCD (with no backlight) uses less power than a AMOLED.
Amoeld need to have some sore of lighting on for it to be readable. that takes power.
A monochrome LCD, without the backlight, can operate on as little as 2.7V (although it is best to stay above 3.3V). The colder the environment, the more voltage required.
A monochrome can turn on and is readable in the daylight with as little as 1mA to 3mA of current (the larger the display the more power needed, the colder the temperature, the more power needed)
Segment displays like in a digital watch, with no backlight, will run for years on small watch batteries.
So I would say a monochrome, Liquid Crystal Display uses less power than a amoled.
Here is an article dealing with low power displays for battery powered and solar powered products.
I am a design engineer at Focus Displays, the link is to show supporting current draw.
<Battery and solar-powered low voltage LCD Displays>