Fans like this aren't nearly as effective if either of these conditions is not met — then you're just pulling in air that is somewhat less uncomfortable each night, instead of getting truly refreshed.
In the early summer, the temperature dropped from the upper 90's in the day to the low 70s at night. In the worst of the summer, the temperatures were only dropping to the 80's, and they did use the air conditioners then.
However, that fan moved so much air that there would be a stiff wind blowing across the beds all night, and that cool humid wind would have you under the blankets in no time.
There is a lot about this house that needs to be updated to modern energy standards and getting rid of that fan is on the list. Overall it costs far more than it saves.
The one in my relative's house had louvers that would open when you turned the fan on and then close when you turned it off, so it sealed itself off when not in use.
They saved a fortune by not having to run the ac all summer.
I had remembered whole-house fans when growing up in Kansas — many of my friends had homes with them. They could be noisy but really did make for a nice house breeze in the evening.
I personally find fans made very little difference for me in humid climates.
Sitting in a breeze does two things: 1) Allows your sweat to evaporate more quickly, and that evaporation is what causes most of the cooling effect. It's not very effective in high humidity because your sweat won't evaporate very easily. Evaporative coolers / swamp coolers work off this same principle. 2) Sitting in the still indoor air your body heat warms the air around yourself and you end up sitting in that pocket of heat. Just about any airflow stops that, which is why air circulators (fans that are meant to point from one end of a room to another instead of directly on a person) work to make a room feel a bit cooler.
Running the attic fan at night with open windows can have similar effects as above (especially the air circulator), but on top of that it's for pulling in the air from outdoors after it's cooled off at night, and expelling the warmed-up air that accumulates near the ceilings and roof. You'd want to close windows in the morning so the warmed-up air doesn't get pulled in and replace all the cooler air.
They aren’t very practical, but could be more efficient than cooling an entire building for one person.
At bedtime, they could open the bedroom windows and turn on the fan and a stiff wind would blow in through all the bedroom windows in the house.
That fan, along with window awnings and tall ceilings, really made a difference in how often they needed to use air conditioning, even near the Gulf of Mexico.