no...
do your interior RV lights and water pump work, when the engine is running ?
if yes, then the path from rv batteries to house is good, and converter is bad
IF NO, then you still have the break in the circuit as i described it
you have proven the alternator charge circuit is good
you have NOT proven the batteries are good and hold the charge, or that there is circuit between batteries and converter/house fuses and wiring
like i said IF things work when shore power is on
look for the break in the circuit
