IMHO, Induction reacts even faster then gas. ( and definitely should not be lumped in with electric ).
It's crazy how fast induction changes temperature. I don't fully understand why it's so much faster than gas, but do understand some of the theories. The induction actually causes the metal in the bottom of the pan to heat, not the surface of the stove itself, and not even the bottom surface of the pan, but potentially the entire thickness of the magnetic part of the bottom of the pan. With gas, the flames heat up the bottom of the pan, and the metal that the pan sits on, the heat travels from the outer surface from the bottom of the pan, through the thickness of the pan, to where it makes contact with the food. On Induction, the entire magnetic base of the pan becomes hot, due to the magnetic forces. If I boil a bot of water on my natural gas burner, it might take 5 to 10 seconds for the bubbles to stop coming off the bottom inner surface of the pan. With Induction, if I turn off the burner while boiling water, the bubbles seem to disappear almost instantly , I mean like less than 2 seconds. Now, my gas stove has cast iron burner grates, so those must retain heat and keep the bottom of the pan warm longer, or something. All I know for sure, is I'm 100% convinced, induction cooktop is capable of changing temperature seen at the cooking surface of a pan far more rapidly than gas burner/flames can.
Only reasons I'm not 100% ready to switch from Gas to Induction are... I can get higher BTU output from my gas stove than I can with most induction burners. And, if I lift a pan off a gas stove burner by a inch or two, the pan doesn't instantly start to cool, with induction , if you lift the pan off the surface by even one inch, the pan starts to cool very very quickly. So, I still prefer gas for some cooking. I love induction, but not for everything.