In TNG's most morally despicable episode, "Where Silence Has Lease" PIcard and Riker's stompy-foot, hissy fit solution was to destroy the entire ship because that entity said that 1/3 of the crew may die from his experimentation. So they decided to kill 3/3 of everyone, including countless families with small children. Again, there is no logical reason to have small children on risky deep space missions. Even though it worked in that episode, I still found everyone's motives vile and stupid.
I think they made the right call there. Otherwise they are sentencing them to painful bizarre experiments by that creature like they just saw when it killed the other crew member and with no reason to believe it would stop at 1/3rd. Plus just by being on the ship they probably make you sign a waiver allowing the Captain to decide whether or not to self destruct the ship