I thought that WOL was first of all a problem of the hardware.
You may well be right.
However what Albert mentioned may
not be "real" hardware WOL. (I'm afraid I am only guessing
When the EDmini v2 is "powered off", it is not really off at all
(unless you unplug the power adapter).
In fact a "power off" is actually the start of a reboot.
U-Boot takes control and reads a reboot/power off flag from an I2C EEPROM.
If this flag says "power off" U-Boot sits there waiting for you to press the power button before it continues rebooting.
also continue rebooting if it receives a WOL type packet (or possibly a LUMP packet).
But as I said I'm only guessing here and I am afraid that I cannot help you any further on this point