In one house (in a very temperate area of California, I removed the motor from a 48" ceiling vent hood which had been illegally vented to the large attic space. I had a vent run through the roof and had a restaurant size motor and fan installed on the roof. It was not pretty (only visible from the backyard), but it was the best vent I have ever experienced. When it was on high, and the windows in distant bedrooms were open, the drapes would blow into the room because so much air was moving. It really acted like a whole house fan. It was so efficient as an exhaust fan that I could fry bacon, and I would not smell it in the kitchen. Even though the motor was on the roof, it was not silent as I thought it would be.
That house has been sold, but if am ever in charge of a exhaust vent, I would try to get a good one.
Now, I have a friend who cooks a lot and uses the recirculating vent. I changed the filter, but it does just about nothing that I can see. Fortunately, this is also a very temperate area, so the door and window is open most of the time when he is cooking.
My son has a downdraft vent. They are powerful to counteract the heat rises thing, but it is so strong that it distorts the flame on his gas range. I am not a fan of that set up.