On the topic of crime,no, I don't necessarily disagree there. I'm sure your statistical data is correct.
The way societal traumas manifest is tied to the types of trauma each demographic experienced and experiences (including their own self-perceptions of the ways in which they have been victimizes).
Poverty is often a stressor that squeezes out behavior we tend to identify as criminal, but it just a common factor in exposing the wounds.
Depending on the group in poverty, it may manifest as gun violence, physical violence without guns, domestic violence, theft, stimulant abuse, opiate abuse, and a myriad of other things.
i.e. if your cultural wound is to feel powerless, a gun may make you feel powerful; in charge.
If the wound is anxiety, you might choose to numb out.
Controlling for wealth only gets you so far because it is a single dimension.