That's so true. That is actually why you want to size your AC unit to how large your house is otherwise you will either have the unit running too long and remove all the moisture in the house or have the unit on for only a minute at a time and it won't have the chance to remove any of the moisture. When the latter happens you are cool but it feels like a swamp.
It is called air-conditioning because getting humidity right is just as important as temperature.