While you're in there doing that female plug, think of adding one of these by drilling a hole just above or below the female plug.
Based on your experience, and that damn hard to see pilot light on the cord itself, I'll be adding one of these wired right to the plug wires, and maybe wire another on the far side of the ats.
(and during my battery vs my new inverter debacle of two weeks ago, the damn shore breaker broke right in the middle of the third diagnosis, REALLY jacking up my findings and predictions. A big pilot light would have cured my full sun blindness inability to see that damn small cord pilot)
Easy mod, and at a glance you'll see where the power is on.
https://www.amazon.com/AmplifiedPart...gateway&sr=8-3