Harry, just like a fridge at home, it can run year round if you so choose.
Family, fridges (the dorm sized ones) actually draw very little power once "down" to temp. The more food you keep in it, the less power it draws, too, since whenever you open it (try to limit that), you lose the cold air. With more cold food in there, it doesn't have to work as hard.
You should really have deep cycle batteries, or at least dual purpose for this use (extended use with no charging). However, I once ran the fridge (this was on my Sea Ray) for 3 days and nights (one, group 27 DC) and only ran the engine for about an hour or so the whole time. I also had some stereo use, lights at night and Vacuflush use. On the last day, I was able to start the V8 stern drive just fine. I used only that particular battery just as a "test".