I'm sure this probably isn't the case, but what if lead exposure made you more likely to get caught for a crime but didn't affect the chances of committing one? Are there any all-else-being-equal studies that can tell us whether violent crime is higher in areas with a high rate of lead exposure?

The studies I've read seem to indicate that lead exposure erodes impulse control which leads to people making very bad decisions they'd otherwise not make.

So it probably tilts things towards people committing more brazen crimes which lead to higher arrest rates, but also more crime and violence in general.

The "all-else-being-equal" studies tend to focus on the primary source of lead: Leaded fuel. As many housing projects were built next to highways, people living there were exposed to significantly higher levels of atmospheric lead than in other more remote parts. When lead was banned from fuel, crime rates dropped, and you can see this play out in similar neighborhoods in different states where the phasing out happened at different times.

Agree mostly. However, is it actually an overgeneralization if it is statistically proportional with rate of violent crime:

https://ucr.fbi.gov/crime-in-the-u.s/2014/crime-in-the-u.s.-...