It runs for a longer time; the dehumidifying function of an air conditioner (the original use, thus the name) is a function of airflow x time, and airflow doesn't change much.
Does this mean that you could dehumidify a room very quickly by just vent-ducting a blower fan to your dehumidifier? Or is there a point of diminishing returns where the air must linger for a certain time within the dehumidifier to actually have any humidity extracted?
(Yes, I'm aware that such a set-up would be impractically noisy; it's just a thought experiment.)