Well that answer begs for an analysis of the 'output' received from burning a unit of NGas. And as expected, there is a significant 'loss' in the power generation phase, not to mention the 'grid losses' that get tagged on due to the transmission process.
So in otherwords, it sure looks like burning the gas as the point of use is a hell of a lot more efficient than using it to create electricity.
Doing some reading on those with an apparent 'anti-gas' stove agenda, and I see its gas line LEAKS, stove LEAKS thats the 'concern' of some like some idjit from Stanford wrote up. Yep, the author actually said that a good % of homes with gas suffer from gas line/stove LEAKS. And therefore this 'leakage' is a serious contributor to pollution. I suspect he is delusional cause if you have a gas line leak, unless you are actively ventilating your home, you are going to smell it as it builds up and does give off one heck of an odor. So I don't know for instance where this author got his 'stats' from, but if thats the justification for getting rid of gas stoves? Someone needs to challenge this 'author' for his proof/evidence.
But that all said, I would expect that gas usage at the burner/over is more 'efficient'/unit consumed than at the power generation and distribution phases. But suspect that will be not looked at, ignored cause it would contradict what they appear to want us to believe.