Rick,
If the tech is right, you should see some voltage at the battery input to the inverter when the coach battery disconnect switch is open (coach power off). I'm assuming you are referring to the error light on the inverter. For the conditions you are describing, high or low battery voltage are about the only conditions that would cause it to illuminate so it could be a faulty switch. Will the inverter reset? "To reset the inverter, press the red ON/OFF MENU button and then select OFF and then ON with the SET POINTS buttons or by pressing the red button several times."
To get the inverter working where do you disconnect the battery input; at the battery or at the inverter? Are you disconnecting the hot lead or ground? Do you leave the coach battery switch on while doing this? The switch disconnects the hot input but not ground so if you are disconnecting the hot lead, you are doing the same as the switch.
I'd clean all the 12V battery contacts on the battery, switch, and inverter as a first step to ensure you don't have an unwanted leakage/voltage path. If no joy, I think you may have a faulty switch since disconnecting the battery (hot lead) should look the same to the inverter as throwing the disconnect switch.
Steve