Check your HOA rules. With ours, we just aren't allowed to park for more than 24 hours at our house. But obviously you can pull your RV into your driveway for when you are packing for or coming home from a trip!
You will only need 30 seconds to find out if your converter is charging your battery or not.
Plug into shore power, then put a volt meter across your battery terminals. When charging, you should be at 13+ volts.
Alternatively, I assume you have a generator? Run it. You should see the same results as being on shore power.
I have heard that not all converters are fantastic battery chargers. They may or may not charge your battery, and if they do, they may do it slowly, and they also don't always pay attention to the condition of the battery and may over-charge it.
But anyway, a volt meter at the battery terminals will tell the tale in less than a minute.