It is entirely irrelvant in any modern car as brakes are always stronger than your tire grip, unless you track the car and break over and over again often.
But theoretically not on hard braking as plainly engine have enough inertia that it wouldn't get to "engine braking" phase when you just slammed on brake. You'd be braking both car and engine.
Also, in an emergency situation, it's better to keep things consistent. Save the fancy moves for when you have time and space. Any sign of trouble? Both feet in, no hesitation. Unless you train stopping with the clutch out.
