As long as you grip the gun, it's the same Mike. Ungripped, the gun, pivoting on your shoulder on recoil, jumps higher & faster therefore doesn't shoot identically to offhand, or when resting the back of your hand on the bag as you grip the forend as I try to do. I get over an inch difference in two rifles. Gripping is the only way I shoot the bigger guns, due to recoil. I don't want the gun's forestock slamming back onto the bag and perhaps breaking the stock or possibly bending the barrel.
Stock configuration will also change recoil patterns. The straighter the stock, the less difference in impact due to holding changes.