If the fall is slow enough, I have the presence of mind to know when to quit trying to reclaim my seat, but if it's a fast one, I am not the master of my reactions, and I'll try my darndest to save my skin. Cant' help it.
By "slow enough" I meant, like the horse spins unexpectedly, you get flung onto his neck, unbalanced, and are almost able to recover, but he chooses to dodge more , so you are not able to get recentered. Or, the hrose spins or dodges and silly you, you didn't tighten the girth enough and now you and your saddle are hanging off the side of the horse looking stupid.
Ask me how I know!