If working properly on electric then you can rule out:
Thermal cutout (High temp one shot device connected between circuit board and normal t-stat on brown wires)
The set of t-stats (electric and propane use the same set)
You need to test for 12V DC power
12V Power comes from DC dist. Panel (Fuse) goes to switches (both Electric and Gas...but concentrate on gas for now)
Then from gas ON/OFF switch to WH circuit board via ORANGE wire with GAS switch ON
Then from circuit board out BROWN wire (bottom one) thru thermal cutout to normal t-stat then back to circuit board on BROWN wire (top one)
Need to test that you have 12V DC at and thru GAS ON/OFF switch and then to circuit board (ORANGE).
Fault light is the light on switch panel
Fault light would come on and stay on IF:
Gas tried to light and failed
ECO t-stat (high temp) OPENED....whether on electric or gas operationa