I'm using a LCD 27" computer monitor that has a power button on it (ie when you plug the power cable into an outlet, it does not turn on until you turn on the power button/switch on the monitor).
Just to be clear, have you tried:
1. Doing the power-on un-plug/re-plug test?
-- Plug in the montor.
-- Turn the monitor on.
-- Un-plug the monitor.
-- Wait a bit then plug in the monitor again.
-- If it comes back on without pressing the power button, the monitor will work in a slave socket of a smart strip.
2. Checking the LCD menus and owners/service manual to see if there is a "power restore" option. (may be worded differently)
By everything I mean:
1. Marquee/LED lights
2. Computer
3. LED control panel buttons
4. Screen
5. Electronic coin box
2 and 4 both need an AC outlet.
Do 1, 3, and 5 need an AC outlet, or are any of them powered by the computer PSU?
Scott