The M96 and shoulder stock is a nice combo. It balances well, and I haven't noticed the difference in impact of shot placement. I can't say that I have tried many comparisons of the on shoulder with stock vs the shooting from the hand.
It does group very well and is pleasant to shoot.

I have a late 1960's model Woodsman with 6" barrel. The adjustable target sighted Huntsman.
I have taken at least 50 rabbits in Alaska, several marmots above tree line (taste like turkey and great liver!) and won several .22 handgun silhouette matches in years past with it. I still carry it as my dispatcher when hunting larger game many times or just for the hiking when allowed.
Great pistols.