[hansvm]

This review [0] is a bit reductionist and overconfident with some of its adjacent claims, but it includes a decent overview of the studies we've done on the topic and references those for further reading. The effect is weak enough at a societal level that it mostly doesn't make sense to consider (and those effect directions are not supportive of your claim of overall reduction if you want to interpret them as strong enough to matter), but when restricted to groups pre-disposed to violence you do see a meaningful increase in violent behaviors.

[0] https://www.mdpi.com/2075-4698/3/4/491