Yes, but usually not as much as the sway from shooting completely unsupported will make you inaccurate. Two steps forward, one step back is still one step forward.
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In a match or for quals shoot by the rules.
There are no rules in a gunfight. You wanna use a sling, you should if it racks kills. After the fight when you're sorting shit out and counting the dead no one's going to care what you were wearing or sporting -- just who won and who's still alive.
If you maneuver, run, and shoot better tight and slung up do it.
Sharpshoot what you want, but we'd appreciate pictures and scores instead of keyboard quarterbacking.