You should not be using a gas stove if you care about your respiratory health or the respiratory health of your family.
That is not the conclusion of the article to which you linked. Rather, it acknowledges that cooking exhaust fans are an effective mitigation. If you follow the link in the relevant paragraph, you get to an article that references many papers covering the effectiveness of exhaust fans. This one clearly demonstrates that exhaust fans that adequately remove pollutants from cooking, including PM2.5 and NOX, are available on the market for residential use.
It doesn’t at all say that; it notes that you should be using an electric stovetop but that vents can reduce the exposure.
If I already have a gas stove, what steps can I take to reduce the risks?
If you have the means, you can replace your gas stove with an electric one. The Inflation Reduction Act provides rebates of up to $840 for purchasing new electric appliances, including stoves and cooktops. (Eligibility varies by state and income level.)
But if you can’t afford to buy a new stove or if you rent an apartment and can’t change the appliances, experts note that there are still things you can do to reduce your exposure risk.
If your stove has an overhead vent, you should use it every time you cook—and ideally it should vent to the outside. “You should always turn that exhaust fan on anytime that you’re using your stove, no matter if you’re just boiling water,” says Eric Lebel, a senior scientist at PSE Healthy Energy, a nonprofit research and policy institute in Oakland, Calif. “Even if what you’re cooking doesn’t smell, if that flame is on, you should have the exhaust on to help reduce the concentrations of the off-gassing, or those [nitrogen oxide] by-products, in the kitchen.”
Unfortunately, many people don’t use their vents. They work best when they’re running at full blast, which can be pretty loud, and the filter should be changed about every three months, Kephart says. And some overhead vents merely recirculate the air back into a room. If you don’t have a “ducted hood” that vents to the outside, you can open a window and run a fan to increase ventilation, Lebel says. Portable air purifiers may also help, Kephart says, although they don’t completely remove the NO2.
it notes that you should be using an electric stovetop but that vents can reduce the exposure.
In the text you quoted, it says that you can replace your gas stove, not that you should. That’s a far cry from what you originally said: “You should not be using a gas stove if you care about your respiratory health or the respiratory health of your family.”