Let me spell it out:
If it's true that lead exposure motivates crime, but at the same time causes people to feel too depressed and fatigued to act on their motivation, then my point is that if lead-exposed people then take stimulants (like meth, coke, or crack, for example) then those stimulants could counteract the depression and fatigue effects of the lead enough to allow people to act on their motivation to commit crime.
In case some of the downvoters are skeptical that stimulants could counteract depression or fatigue -- they certainly can. Not saying this is a smart thing to do, due to the addictive potential of these substances or their other deleterious effects. But they certainly can stimulate people in to action if they're otherwise too depressed or tired to do anything.
This is just a hypothesis. But it would be interesting to see if there's a correspondence between lead exposure, stimulant use, and crime.
The nexus of lead exposure, alcohol, and crime would also be interesting to investigate, as alcohol is already well known to be associated with violence, impulsive behavior, and poor decision making -- adding lead exposure in to the mix might potentiate this in to criminal activity.