Not a fan of your proposed changes to SGA. It's meant to be an endless spray of bullets and when your mag is empty, everything is dead. If anything it should have more ammo and more recoil as well as armor penetration.
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While overpenetration is always excellent, Hard Light has proven that it's not exotic-quality. Currently SGA does not match your description of what it's meant to be; Thunderlord seems to be filling that role quite nicely, with all of overpenetration, explosive rounds, and fire rate ramp-up.