I am not implying that the weapon can have both. Without either send it or perfect balance its range and stability are both very high for a hand cannon. The perks just allow even more stability/range accuracy depending on what you like. If you equip send it over perfect balance you can quite easily get off fast shots at midrange and still get head shots every time.
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*shrug* I die far more to shotguns and scout rifles than HC's, but I'm not very competitive so maybe you're right. Maybe they're "too good" compared to the other options.