An extraction system has two parts.
1. The canopy captures the effluent column as it rises. Effluent columns expand, and the canopy, to do its job, needs to be roughly as large as the expanded effluent column when it reaches the canopy.
2. Once the effluent gets into the canopy, the fan needs to make enough air flow to vent it out.
So you need *both*. If you have 1 without 2, the effluent gets into the canopy, but then spills out again. If you have 2 without 1, much of the effluent never gets into the hood and just mixes with the rest of the air in the kitchen, and then your fan is effective only to the degree that it is exhausting air from the kitchen in general.
The error a lot of people fall into is fixating on cfm alone, and imagining that a powerful fan can somehow reach down to the pan and tell the effluent where to go. It can't.
Duckfat (or Dave?) claims: "Turn on a 30-36" hood and hold the smoking item at burner level. Now back it up at that level 12" out side the hood. Even a full foot away with a 600CFM unit on a properly installed run it will draw the vast majority into the exhaust." I invite him so demonstrate this, in a residential kitchen, and post the video. Preferably, using something that puts out effluent at the rate of a hot wok.
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2 additional points, having just been through some of this with a kitchen remodel myself. One is that neither kitchen designers nor salesfolk are much use on these issues. It's even hard finding an HVAC person with residential kitchen experience. If you want to test someone, ask them about makeup air requirements (after reading up on the subject yourself) and see if they give you an honest or even coherent answer. Salesfolk in particular have no incentive to point out that buying a cool-looking high-BTU range may get you into thousands of dollars of *additional* expense and require an unsightly hood -- especially since many of their marks are buying for bling rather than function. Two, overall venting needs depend a lot on how you cook. If you sear meat, if you do wok cooking, if like me, you burn stuff on a regular basis and your loved ones don't like smoke, then you want effective venting and that requires a big hood. You can't fight the physics. If your cooking is less smelly, you can get by with less.