The ubiquitous carbon filters such as those installed with over-the-range microwaves show filtration results that go from poor to worse.

While traveling recently, I stayed in an apartment with one of the recirculating type hood fans. I’ve Installed many fans that vent to the outdoors, which come with their own caveats (makeup air is required to balance the outflow), but I hadn’t experienced the unpleasantry of indoor cooking without one for many years.