Post ignition push on a "surprise" dry fire just means you were actively steering the pistol during the recoil portion of the shooting cycle.
Whether that's good or bad depends on what you were trying to accomplish with the next shot up.
Aggressive recovery can help with faster splits and especially with faster transitions but at the expense of accuracy because it's easy to "overswing" the sight alignment the faster you're trying to reacquire it.
On drills like the "Triple Nickel" which is heavy on making fast splits and fast transitions on high percentage targets, active recovery/steering the pistol as soon as the front sight lifts out of the rear notch is advantageous.
When trying to make a quick double headshot on a 25Y USPSA target, aggressive recovery can be detrimental because it's easy to "push" the front sight too low for the target size and you'll either miss the next shot if you press off the shot or you have to take more time to bring it back up into alignment. It's probably better to let the front sight settle on it's own.
A true post ignition push doesn't cause any problems with the shot you just made, by the time you're pushing the bullet is long gone.
Post ignition push can cause problems on the follow up shot in two ways. The first is if you're shooting faster than you can see (like an old school double tap) and you push the second shot low. The second is if the target size is small enough that an aggressive post push has you dip the front sight requiring you to catch it and bring it back up into alignment which takes time.
Steering the pistol before the front sight lifts out of the rear notch = bad.
Steering the pistol after the front sight lifts out of the rear notch = bad, neutral or good depending on what you want to do with the next shot.