The fact that they where around 80 knots faster than they should have been probably helped a lot. That's a heck of a lot of excess energy.
So maybe they'll go to idle but won't reverse, because reverse while in the air would be bad.
But the excessive speed is what allowed the plane to lift off again.
In the case of the landing attempt above, reverse thrust and the very sketchy (ahem) landing configuration would typically bleed off too much speed to make a successful takeoff possible. Depending on the runway the implicit decision point might have been behind them virtually upon touchdown. With so much excess airspeed, though, while a safe stop was not possible they were still able to fly. It would have been a hell of a ride, though, and just thinking about abusing an airplane like that kind of blows my mind.