Any idea that the gas is heating it up faster is just placebo from seeing the fire and feeling the hot air it spews all over the room. None of this changes the fact they said a different pan on two different stove tops, obviously you cannot account for the difference in one variable (type of stove) when you change a different one (the specific pan). It’s like saying gas boils water faster because you always use a smaller volume of water when you use a gas stove.