Actually, it would have been super cool if the first successful recovery of the first stage had been an emergency abort!
Something like this actually happened on the fourth or fifth flight of the DC-X test vehicle. It had made several successful launches, hovers, and vertical landings and the test profile had it going to higher and higher altitudes and doing some interesting maneuvers. Anyway, on the nearly fatal flight, due to wind conditions in the launch area, hydrogen gas (it was LH2/LO2 fueled) collected near the base of the rocket and ignited in a mild explosion at launch, with the shockwave blowing off some of the DC-X's airshell. The rocket continued climb-out, shedding more pieces as it went, as the observers watched. Pete Conrad (the astronaut, who as part of the DC-X team was controlling the flight from the ground) calmly clicked the "abort" sequence on the control computer. The DC-X stopped its ascent, hovered to burn off fuel (to lighten the load on the landing gear) and then landed safely.
Try that with any other rocket. (The DC-X's engines were modified RL-10s, much more deeply throttleable than Falcon's Merlin engines.)