Wrong. Yes, the keys are all the same (other than learning keys), but the ECU can be programmed to recognize the keys differently.
I have 2 keys, one white and one green (yes, I know that the color is irrelevant). My white key will allow me to run in either performance or Eco mode, using the button on the dash to switch between the two. If I plug the green key in, it immediately defaults to Eco mode, and will not allow me to change to performance mode using the switch on the dash.
My ECU is programmed to recognize my white key as a normal key, and my green key as Eco. I could take my car to the dealer and have my ECU reprogrammed to treat the green key as a normal key rather than Eco only.