You’re talking about flinch, and snipers have it already, a shotgun requires no aiming skill, so a flinch on it would do nothing, the best way to do what you are asking is to decrease the speed you can draw a shotgun to a firing position from sprinting or sliding while being shot. Although i must say that nerfing shotguns in this way doesn’t make logical sense as it would make them useful only as a corner clearing gun and make it’s pve utility a lot less.
In my opinion, sidearms and submachineguns should be the de-facto counter for shotgunners, they should be buffed to counter sprinting shotgunners, but it’s a delicate balance.
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Slug shotgun do it’s the only style of shotgun I use