The number of child forensic psychiatrists is a very small club but there is a lot of interesting child forensic work out there. On the juvenile court side there are competency evals, sentencing mitigation, juvenile sex offender evaluations, and juvenile waiver to adult court evaluations. More rarely there are NGRI evals for adolescents. Autism as a mitigating factor in criminal settings is very popular with defense attorneys. On the civil side, there are evaluations related to personal injury (e.g. child TBI, death of parent, emotional distress, child sexual abuse cases). Medical/psychiatric malpractice is another are. There are also as mentioned above evaluations related to child custody, parenting capacity (which adult psychiatrists can also do), and termination of parental rights. I am not CAP trained but frequently get asked to do CAP forensic evals which I decline though I have served as a consultant in cases involving children such is the shortage of child forensic folks.
If you do not want to do the kind of work mentioned above, or don't want to work in juvenile justice or other forensic settings, I'm not sure there is much mileage to do a forensic fellowship as a CAP. However, forensic psychiatrists seem more likely to end up in leadership and administrative positions, and be involved in organized medicine for whatever reason. A lot of forensic psychiatrists are also involved in medical education or take governmental leadership positions with the state. You may also be more likely to participate in ethics committees or ethics consultation or doing risk management work in hospitals or other large organizations.