Water and electricity shutoff is always random, it just chooses at what timescale the randomness ends and they shut off if they haven't yet. Can't say anything for the stat decrease, since I haven't tested it. What I did notice is that the 'closed houses' thing doesn't affect windows! I think it should. I personally would like to have to break in almost every house and only rarely encounter a window that could be opened with hands and feel 'Yes!! Finally!' But I selected the "instant" option for shutoff and I always had water and electricity avaible. (even after 24 hours) I think windows are not the same as doors cause they are depending on some parameters like strength to get them open.