While it's true that gas stoves are a significant source of kitchen fumes, they are not the only source, just the act of cooking food produces fumes. As an example, when searing meats, significant amounts of fumes are released, as is also the case when bringing anything beyond the boiling point, steam is given off, and steam can contain other particulates. Just using an electric stove (which I use currently in my rental) alone does not solve the issue, and is not even that large of a reduction. Most of the fumes from cooking are from the act of cooking, not from the heat source.
I have an induction cook plate and the AQI indoors still goes in the hundreds when cooking on it. It takes about fifteen to thirty minutes of the air purifiers running at full blast to get down to single digits AQI.