I actually disagree with that; my observation is that young men in particular who have fallen into sins of impurity, especially of the solitary variety, become more passive and less aggressive. I think it does something to disrupt the testosterone cycle. I think that it's been docuмented that this kind of thing messes with various neurotransmitter systems in the brain.
I could see saying that sins of impurity lead to violence but not that violence is caused by sins of impurity. Violence can be caused by many things. If I'm in a bad mood, I can certainly get angry at someone cutting me off in traffic ... and it has precious little to do with purity. In fact, it's quite well known that generally coupled with concupiscence as a distinct effect of the Fall is irascibility (being prone to anger).
Actually, everyone has 2 appetites, the concupiscible (wanting to reach out and grab various "goods" -- easily obtained -- for ourselves) and the irascible (seeking goods that are arduous to obtain, or "in the process of walking away" from us).
Every time you become angry, it's at a PERCEIVED GOOD WALKING AWAY. Whether it's being put further back in the traffic-line (and 10 seconds later for work) because someone cut you off, or upset that you lost money, posiition, honor, etc. it's always about some good that you perceived has been taken away from you.
Original sin damaged both of those appetites, so that both have become disordered. Since the Fall, men will happily commit sins and grave injustices over a small "slight" against their honor. To achieve some small "good" or make right a small offense, they will perpetrate much graver evils.
So while both are due to Original Sin, lust is clearly a disease of the Concupiscible appetite, whereas anger is the main output of the Irascible appetite.
Another interesting note --
PRUDENCE and FORTITUDE are needed to fix up our Intellect after the damages of Original Sin
TEMPERANCE rectifies our Concupiscible appetite
JUSTICE rectifies our Irascible appetite.
Note that it's not a sin to become angry in itself (as Our Lord was in the Temple) if one is 100% aimed at Justice (the public good, God's honor). But justice must always be kept in mind: "the anger of man worketh not the justice of God". If a guy cuts you off causing you to be 3 seconds later for work, it isn't JUSTICE to ram his car, beat him up, wish evil upon him, rashly judge his good name, etc.