I sure hope so ! My 2001 Damon Daybreak has a B.I.R.D so all batteries are charged by shore power and by the alternator. As the above poster said, check the voltage on the batteries when plugged in. If you don't have a voltmeter, unplug and turn on the headlights for a few minutes to discharge the coach battery. Then plug it in. The lights should brighten. It could take a few minutes or might be immediate.
If you don't have a volt meter, Wally World has them for less than $20.00. Good investment.
2014 KZ Durango Goldrush
2018 Chevy 2500 HD Duramax/Allison