Bring back the bonus damage, but definitely not the 111's it used to hit. Make it in the range of 85 or so. Enough to potentially 2-tap very low-armor Hunters. It doesn't need to be consistently 2-tapping people with the fire rate that it has.
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A little more range would be lovely.
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The range isn't the problem. If you have a hand cannon that's going to be capable of hitting that kind of damage, it's only fair to keep it in close-range. You can still hit high-damage headshots if you pace yourself.