These traits (violence and low IQ) are both caused by exposure to lead. This study is only novel and interesting if they controlled for that (at least using age).
In 1975 lead was eliminated from auto fuels in the US. As lead in the atmosphere decreased so did violent crime. Crime stats were from the FBI. They noticed also the IQ increased as time went on too.
So like you, I think they need a better control group. Maybe based upon year born and lead levels as the child grows to adulthood ?
I know I went looking for another vehicle back then due to lead and rumors saying unleaded gas could eat away at the engine gasket.
I ended up moving to a unleaded car in 1983, indicating I could still find leaded gas after 75.