So the children followed Gorkon willingly? So they were responsible for their own parents death? Did they face crminal proceedings or were they treated as victims? That is one hell of a job for a therapist to solve.
As an aside, loved the name of one of the parents Tsing Tao. What a lovely refreshing rice beer that is.
MCCOY: Cyalodin.
KIRK: Self-inflicted.
(Kirk replays the tricorder.)
STARNES [OC]: Must destroy ourselves! Alien upon us. The enemy from within. The enemy!
KIRK: All this. Self-inflicted. Mass suicide.
[Later]
KIRK: Whatever happened here is locked up inside those children.
SPOCK: The attack on Professor Starnes' party must surely have been unprovoked.
KIRK: Attack? Mass suicide is what it seems to be.
SPOCK: I stand corrected, Captain. Induced would be a more precise term. Induced by an outside force.
KIRK: Such as?
SPOCK: The release of bacteria. Or a helpless mental depression and a state of suicidal anxiety could have been chemically induced.
KIRK: What would make the children immune?
SPOCK: I do not know, but it is possible.
KIRK: Then the children would have been exempted by conscious design.
SPOCK: A valid assumption, I would say.
So it's possible the children were uninvolved in the death of their parents. The deaths were self-inflicted.
(Also, "Gorgan," not "Gorkon.")