I don't know about your equalizer system, but your dealer is full of shinola.
You don't need to replace them with expensive gel's. If you're an occasional camper I would probably suggest you replace them with 6v golf cart batteries (x2 to make 12 volts or x4 to increase available amp hours). I don't know what type or capacity you have on there now, but odds are, if it was dealer supplied when you bought your rig, you'll be getting more bang for your buck over what you currently have installed.
At a box store they can usually be had for around $85-90 each.
What you DO need to do however, is to disconnect your battery/ies negative cable when your rig is unused for any length of time and learn some basic battery maintenance techniques. You can leave it plugged in to shore power, but as you found out, you can cook your batteries off with continuous charging with a stock converter/charger.