I think some readers have a misconception here. This monitor does not have the typical 'clicky' power switch of older computers and crt monitors. On the older styles, the monitor would power on as soon as it was plugged in. The tact switch style does not auto power on when power is applied. It will however stay in standby mode when the pc is off as long as power is not cut off.
Anyways, I currently have this same problem with my MAME cabinet. I have to remove the bezel and glass, then reach in to turn on the monitor if I unplug the machine.