Normal residential oven vent hoods do not remotely get all the cooking exhaust. I’m not sure they get any meaningful quantity of cooking exhaust.
Try an experiment that I’ve done at least once in several different houses over the years: turn on your hood vent fan, then leave your food on the stove and accidentally burn the everloving shit out of it.
Is your house full of smoke and fire alarms going off? Then your range hood is not protecting you from combustion products coming off the range