Let me simplify this further, as the sequencer seems to be confusing. (Perhaps my lack of electronics engineering is getting in the way).
1 power supply.
6 circuits are integrated with the supply.
Each circuit includes a switch which provides power to the LED indicating that circuit has been powered from the power supply.
As each circuit is powered, the LED turns on with it (from the power). All of this is enclosed in one, manufactured enclosure. One switch starts the sequence to power on the circuits (one at a time, in a predetermined order).
Each circuit also has a remote status indicator contact. They can be used to wire duplicates of the indicators to indicate when a circuit has been turned on.
Via these remote indicators, I want to wire all 6 LEDs to a separate display. When circuit one receives power, I want circuit one's LED to illuminate. When circuit two receives power, i want circuit two's LED to illuminate and circuit one's LED to extinguish indefinitely.