In nonhuman primates, high cholesterol levels enhance serotonin function. They lower levels of overt aggression. And they promote social behavior.
In people and other animals, serotonin dysfunction is implicated in major depression and, independently, with suicide. Serotonin is seen as a neurotransmitter of restraint. It remains inactive until called upon to inhibit some impulsive command, such as, say, the thought of suicide in the face of some extra stress.
In healthy people, serotonin turns on to suppress impulses and keeps them in check. In those whose serotonin system is not responsive, for whatever reasons, it fails to suppress an impulse, resulting in an impulsive act. Like hostility or acting on a suicidal thought.
Low-fat diets are known to alter serotonin function. They might decrease the fats in nerve-cell membranes, impairing serotonin receptors.
Where does that leave you?
Why there won't be much, if any, research on this: Statins are big money, honey (or agave nectar).