I know being a psychopath does not mean that you will be violent or criminal. It does mean that you do not really feel empathy for anyone else and have a lack of a conscience.
I think rightly children are not labelled as psychopaths, but I do think children who are showing these traits should get proper treatment and their parents should get proper advice and support.
Children showing psychopathic traits are those pre puberty children who are bullies, setting fires, lying routinely, showing no empathy for others, deliberately cruel to animals, and for whom punishment has no impact. A child has to have a number of these issues, many children bully for example, but still show empathy towards people they love.
But at the moment, parents with children showing these traits, receive little help, and are often blamed for causing their child's behavior. There seems to be resistance to seeing this in young children.