Technology changed over the years and you need to do some checking what you have.
Older converters did provide 12V AC (!) current with switch-over for lights and had small 12V DC circuit for battery charging and radio operating.
Those charging circuit often were set well above 14V and on long run would run the battery dry.
Newer chargers are hook up parallel to the battery and have voltage controlled at about 13.5V what is maintaining voltage for the battery.
I have the latest and can leave the battery for long time, but when I disconnect the battery, the lights will operate, but jacks will not get enough current from charger alone.