The switches will prevent the lights from working, but they won't cause the warning lamp to illuminate. Fix your foot brake concern.
There is a tail lamp/stop lamp sensor that monitors the resistance of the tail and brake bulbs. If it sees incorrect resistance due to a burned out bulb, it turns on the ground for the warning light. It's behind the starter relay. Nine pin connector with seven wires.
Make sure all your brake lights are working, at the same brilliance.