Have you used a S2a? lol.
Last time I checked, their are very few cameras where you need to factor in "recoil" when you "shoot" with them.
It seems to me that target shooting and photographing involve very different types of "looking".
For photography, I would expect to gain more useful information from the target shooter's approach to state of mind, balance, stance, breathing, concentration, holding the pistol, etc., etc.
I actually recommend an approach (attributed to firearm shooters) that I learned many years ago about how to order one's breathing while releasing the shutter, in order to minimize the affects of camera movement.
It's ALL about "SEEING", a mental discipline which most folks have a hard time with and after childhood, rarely, if ever, use because they've allowed the analytical side of the brain to take over sight and visual interpretation which, instead of "seeing" what is before you, uses a visual "shorthand.
This is well illustrated in the arts books of Betty Wright, "Drawing on the Right Side of the Brain".
In that book, the "blind contour" exercise is very easy to use as a threshold to keeping the left side of your brain quite, which uses a mental shorthand of 'icons' letting the right side to really "see" what the screen, close up or at a distant, and those who need to see, recognize and record whatever is actually in focus, or target, as it exists.
I learned years before reading this book, how to "see" but the knowing of what the mental process is about and how to call it up, as needed has allowed me improve my disciplines, which is very gratifying.
Seeing with the right side, photographically, improves compensation of your subject and environment and that's a real boon to the photographer and the resulting photographs.
I recommend people read this book, at least to the point of doing the blind contours and beyond the exercises if they want to learn more, but I believe being able to turn on the right side of the brain, at will, is key to many disciples, including shooting and photography.
Cheers