Just having a natural gas stovetop will significantly worsen your homes indoor air quality.

People forget your breathing in the exhaust of burning a fossil fuel.

Iirc, the primary problem with gas stoves is nitrogen oxides which are created by just about any burning process that uses atmosphere as the oxygen source since air is about 78% nitrogen. In other words, the problem doesn't have to do with the methane being a fossil fuel.

If we had stoves with a source of gaseous or liquid oxygen, then the NOx emissions would be greatly reduced.