Charging TT Battery with Honda 2000 Watt Generator

I use the trailers AC plug. My converter/charger isn't the best but in my situation I have no problems charging my batteries using my Honda 2000.
The main reason besides convenience is that while charging the batteries using the AC plug it also powers up the 5th wheel. In summer when we do most camping it allows us to run the ceiling fan and other 120V items like my wifes hair dryer. We run the gen if needed at dinner time around 4-6 or 7 depending on needs.