Normally the house batteries will charge with the "house switch " off.
But the chassis batteries will not be charged on my rig.
So the best way for you is to measure and test on a sunny day and see
if both sets are let say at 13.2 Volt or higher.
Or check the current,if you have a clip-on DC amp meter.
This way you know for sure and don't run into some problems.
Siggy
Happy Trails
Siggy & Ursula
2011 Dutch Star 4020,ISL 400,Compr.brake,FTL XCR,IFS
Allison MH3000
2015 Jeep Cherokee,4x4 Active Drive II,V6 , Brake Buddy,Roadmaster Sterling,
Camping since 1975 Pop-Up,1986 22Ft.TT,1999 Gas MH,2005 KSDP,
2011 DSDP,FMCA 368283