When the PFDs are changed (as per A380) to provide conclusive evidence of where the side-stick is, who has got control, along with rudder pedal position and AoA indication - then the "big red button" will be redundant.
If the AoA scale is colored "red" to the top, one would need to believe you are stalled. SS down while keeping wings level and get the nose down and keep it down until the AoA is back under 5 degrees.
On the otherhand, with PFDs as shown above, you'd be hard pressed to get the aircraft into a stall. "Human Factors" notwithstanding!