Let’s see if I can reason this off the top of my head.
To make electricity you usually start with burning some sort of fossil fuel. Might be methane on the west coast or coal on the east coast. That heats water to steam to drive turbines which make electricity which is transported across a grid and to your house. You then reverse the process and turn electricity into heat by jamming a bunch of electrons through some sort of filament with high resistance. Each step along the way will have losses.
With methane you pump that stuff to your house and then light it to turn fossil fuel into heat.
I’m missing all sorts of second order considerations, but as a first order you have far fewer steps in your quest to get heat.
All sorts of super important second order considerations.
Lets follow the chain, starting with natural gas.
1) Pipe to home, burn directly: 34% efficient transfer of heat to food. Final: 34% efficient.
2) Burn in combined cycle NG plant: 65% efficient. Induction heating: 74% efficient transfer of heat to food. 0.74*0.65*100 = 48% efficient.
Induction is more efficient when done properly.
I'm neglecting transmission losses on the electric side, and pumping costs/losses on the natural gas side. Should be close enough to each other to ignore - electric losses are more per mile, but NG is on average transported much further.
Of course, that ignores those of us on 100% renewables power plans.
A secondary effect to consider is the indoor air quality in the house: Gas stoves emit a fair amount of carbon monoxide, nitrogen oxides and particulate pollution. Not good to breathe.
Another secondary effect is the waste heat: With the direct gas stove method, that waste heat ends up in your house. If you're in a climate where cooling (AC) dominates (like I do) - that's an extra cost.
If course, I'm talking about
induction heating - i don't know why you keep posting these strawman comparisons (at least 3) against electric resistance stoves. That wasn't what OP posted about. It's not the same thing at all. Nobody here is in favor of electric resistance stoves. Electric induction is a totally different beast.