I agree that the issue is likely the isolator. They look like one of these.
This is the cheaper mechanical type most commonly installed because they cost around $15-$20

This type is more reliable but not very common because of the cost around $50.

Unfortunately they can be mounted most anywhere in the rig, but the popular location is under the hood near the alternator.
Our first motor home had a Toyota chassis and the cheaper mechanical isolator which burned up and almost damaged an adjacent wire harness, just melting the black wire jacket alone. I replaced it with the better type which never gave me trouble over 15 years and I sold the rig with it working. You can see the better blue one in this picture in the lower-right area.
