This sounds to me like a compelling case for parental anonymity online. When you write publicly about your children under your real name, anything you say can be found when some searches your child’s parent’s name.
If you shared each individual negative story under a new pseudonym, and each account shared only enough detail to clarify the story while leaving great ambiguity about which family it’s from, the reputational risks to your children would basically vanish.
This seems to work as long as each new account is sufficiently un-findable from your real name, for whatever threshhold of findability you deem appropriate.
I notice that I am surprised: you didn’t mention the grandfather problem situation. The existence of future lives is contingent on the survival of those peoples’ ancestors who live in the present day.
Also, on the “we’d probably like for our species to continue existing indefinitely” front, the importance of each individual life can be considered as the percentage of that species which the life represents. So if we anticipate that our current population is higher than our future population, one life in the present has relatively lower importance than one life in the future. But if we expect that the future population will be larger than the present, a present life has relatively higher importance than a future one.