Electric heating is 100% efficient in general, as in 100% of the energy used is converted to thermal energy.

Yeah, I was careful to specify transferring heat to the pan.

Luckily a ridiculous amount of research has been done to show:

Ok I am convinced now 😆. I'm easy to convince if you have data. I am surprised though, I have used all three and induction is by far the quickest to heat. I can boil a giant pot of water in a few minutes, so I am a bit surprised that the difference between electric and induction is not that big.

I guess gas is fast to heat because it stores a ridiculous amount of energy so it can waste plenty and still be quick.