Our 2007 model with Tripp-Lite inverter has a current draw as well with everything turned off. Interesting comment about the detectors. I never thought of that. Though I store the motor home inside a garage with electricity, I do not plug into 120V. I disconnect the RV batteries, but not the chassis battery. Once every couple months I put all batteries on a smart charger, 4 amp setting.
I learned something with my original Phoenix supplied batteries. After the second season, I was getting boil-over and wondered why. I removed the two batteries and measured their voltage independantly which was just about the same. I filled them to the proper level with distilled water, and then while on my work bench I wired them together and charged them with a smart charger. Guess what happened? They still boiled over. I was perplexed. That should not happen with a smart charger. I then separated them and charged them individually. One battery accepted the charge without boiling over, and it reached it's proper voltage. When I did the same to the other battery, it boiled over. I measured the voltage which was just about right, not quite as much, maybe 11.9V volts. The next day, just sitting on my work bench the voltage dropped dramatically to around 10V.
The moral to the story.....
If you experience battery boil-over, separate the two batteries and test them independantly. Apparently one weak battery will fool the charger into pumping a charge until the cows come home, boiling over both batteries in the process. I replaced them with two new (bigger) batteries from Walmart. So far so good. No boil-over yet.