I have a gas stove and I cook all the time. The stove is probably burning for upwards of 20 minutes every single day. Is that really a cause of asthma? If 20 minutes does it, wouldn't cooks (presumably with burning stoves for hours and hours 6 days a week) experience it far greater? Maybe professional kitchens have proper ventilation, so it doesn't matter.
I'm assuming the original study would answer some of these questions.