The data linked notes that a typical kitchen vent hoods only somewhat reduce benzene levels. I expect that’s because it’s cheap and noisy and ineffective, as any rental apartment’s over-eager smoke detectors are happy confirm.

Modern homes with little or no fresh air exchange are incompatible with open fire cooking, and vent hoods are not enough. Benzene levels after gas cooking are just another, somewhat more cancerous, reiteration of that point.

The hood has to exhaust outside. A surprising number don't.

Correction: "The hood does not have to exhaust outside" and many don't, they recirculate internally with filters, such as over the range microwaves with built in hoods that are found in most American homes.