In a world without atmosphere you would be correct.
However in the real world short and hard braking has several advantages:
* You spend more time at high speed before you brake, so you lose more energy to aerodynamic drag which increases with velocity cubed. (the power increases with velocity cubed, the force with velocity squared)
* The surface of the brake pads can be cooled by air while not in contact with the disc or rim.
* You can relax your hands between brake maneuvers.
Of course your first and foremost priority should be to ride at a safe and manageable speed. If you crash because you brake too late or too little it’s not better than crashing because of overheated brakes. With overheated brakes you at least have good chances that one of the two brakes still works well enough to come to a safe stop.