I believe your carbon monoxide detector will stay on. When we park our MH for several months I always disconnect the batteries. I think our radios, front and rear also keep power for some reason. There are probably other parasitic loads also.
Disconnect your batteries if it's going to be a while until the next trip. You need to be in the battery compartment anyway to check the battery connections for corrosion and water levels. I leave a wrench wired inside of the battery compartment to make it easy and quick.
Bill
Nodwell RN110 out moose hunting. 4-53 Detroit, Clark 5 spd, 40" wide tracks, 10:00x20 tires, 16,000# capacity, 22,000# weight. You know the mud is getting deep when it's coming in the doors.