The reticle always moves to the left. I’m a right handed shooter. From what I can tell I’m straight behind the rifle (no angle between body and rifle)
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I have a sneaking suspicion that there is some offset for the different positions. I do know they getting straight behind helps with recoil management 100%, but at fine tuning I think it’s been mentioned that it could be check pressure is some other little thing.Trigger cam footage from accomplished shooters changed my perception of what these guys actually see for reticle movement.
Phil Velayo has a handful of videos on youtube that have trigger cam footage.
I dont think that's why they teach being square in current precision rifle courses. The below video has what i have seen to be typical justification for the squareness.
Maybe my mind isn't wrapped around this correctly but it seems that moving your hips to the left if your recoil movement is left is more likely to be offsetting cheek pressure or other forces pushing the butt right? Interesting input, i had not heard of or tried that before.