Brake light on when emergency brake on?

[92470]

I read in the brake section of the dealership service manual that when your emergency brake is depressed and you turn the key on, the brake light on your dash is supposed to illuminate. My emergency brake is completely stock and functional and all bulbs are good, and mine doesn't light up when I activate my emergency brake and turn the key on.

Do any of you know if your truck will do this? I think I am interpreting it right from the manual.

If mine is supposed to do this, what could be the cause as to why it doesn't? Any help or advice is appreciated.

Thanks!!