The turret does not have a headshot multiplier yet when someone crouches into the shot the same bloodsplatter appears as if they had been shot by a normal weapon.

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There are plenty of times where I've thought I shot someone and flicked over to the next person without realizing it was actually my turret that had been peppering bullets into their head for 12 damage.

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Example clip of this exact scenario, Jett dashes over me, I think I shoot them in the head, turns out it was just my turret tickling them.