Product review (2 stars): But it will not reduce indoor pollution or kitchen odor
Range hoods typically serve several functions:

(1)Aesthetics of the kitchen, ranges are supposed to have hoods above them.
(2)Lighting source for the top of the range.
(3)Meeting local building codes.
(4)Protection from grease and smoke stains of the underside of the cabinet above the range.
(5)Substantial reduction of the harmful/cancer-causing fumes caused by cooking (especially searing meats and frying most anything).
(6)Reducing the spread of vaporized grease and the like to the rest of the kitchen and elsewhere (Why does my glassware get so funky when stored on shelves when not used frequently).
(7)And reducing the spread of kitchen odors (say, from cabbage) to the rest of the house or apartment.

This range hood and ALL, I repeat ALL, other recirculating range hoods can serve the first four needs but do little or nothing about items 5 through 7.  And the indoor pollution reduction is really very important. Admittedly some recirculating hoods have activated carbon inserts which are very helpful, but they are expensive to replace (washing is valueless) and one suspects few owners bother to follow the manufacturer's recommendations on replacement.
If your range is on an outside wall and you plan to stay for any length of time in the residence or care about future owners too, then it behooves you to spend the extra money to have a duct to the outside installed.  If not on an outside wall one should at least explore the option of other ducting routes for the sake of the family's health. Remember, indoor air pollution is typically 2 to 5 times worse than the air pollution outside.