I have never owned one but did sell them and do understand how they work.
Those who are saying that the single hose models are inefficient for cooling because they are exhausting air that has already been cooled and the exhausted air will be replaced by hot outside air via infiltration are correct.
In our part of the country (MN) any time well sell a high performance range hood (over 700 cu ft per minute) the building inspector will make the homeowner also install a make-up air system in their home to replace the air being drawn out of the home by the range hood. The make-up air system will include a furnace to heat that air in the winter.