In my case, when I unpluged from shore power the voltage dropped under 12.6 after a couple of hours, so I bought a tool the mesure the specific gravity of the water in the battery and I was able to see that one of the cell was not charging.
You are not connected to shore power when you are on the road... the battery is necessary to power the breakaway switch... but for you, you don't need the biggest and best battery .. and small battery will do.