[oliwarner]

That's still not a complete picture.

That 18K BTU of gas is heat under and around the pan. Most of it licks around the sides and up into the room. It's 30-40% efficient.

Induction coils are 85% efficient. 85% of your 12K BTU is heat energy in the fabric of the pan.

You certainly can get very very hot burner rings. They're commercial units usually. But they're wasting so much energy.