I often add a section of the profile entitled "children" where I can provide more explanatory narrative than simply the links at the top of the profile.
For some, it has seemed helpful to add a section entitled "others claimed as children" at which I can list those who I have found to be claimed as children, why the claim has been made, if I know it, and whether the claim is credible. I provide a link to that child's profile. Assuming it's not credible, I think feel free to remove that child from the links to children at the top of the page. If that turns out to have been a mistake, there is still the link I created within the profile. Assuming it was the right thing to do, the explanation in the profile should keep others from restoring the link.