James, consider adding the make, model, etc to a signature line. I found your info in your profile
Jayco Eagle 241m
But it is a hassle to go look it up so the readers know what you are talking about. Given that I know so little about RV'sand there are a zillion different makes and models, I frequently will do a Google search for the model in question just to see what the specs are on it and what it looks like.
Depending on what year you have, you either have a simple single stage 120v AC to 12v DC converter, or possibly if new enough, a three stage (or four) converter. My 2007 View had a simple Parallax single stage and those run high enough voltage that they tend to cook the batteries, so you have to frequently check the water in them. I after seeing the horror stories about the parallax units burning up, etc, I elected to replace it with a slide out/slide in, replacement three stage, made by Progressive Dynamics. It charges weak batteries at a higher voltage then drops to lower voltages to maintain the batteries and operate the lights and other systems, and every 20 some odd hours, it goes into a desulfating mode for a short period of time.
Long story short, yes, if you have the house batteries turned on with the coach battery switch (usually by the door and sometimes referred to as a "salesmans switch"), then the batteries are being charged by the converter. When you are driving, though I don't know about yours, my View charges the house batteries with the vehicle's alternator. I discovered the other day, that while the charge/boost relay was clicking, it would not make contact internally, and the house batteries were not being charged by the engine driven alternator, just by the converter. Apparently this relay is a high failure item, and I replaced it with a better quality Cole-Hersee 24213 200 amp relay.
You may wish to investigate what converter you have (by make and model) and determine if it is single or multi-stage and whether you should consider replacing it or not. the people at BestConverter - Converters, Inverters, Electrical Supplies, Electronics
are quite honest and knowledgeable and if you have the info on the converter, they can advise you on the best course of action, if any is needed.