I think I'm looking at this correctly.
Here is the edit page for Genevieve Potts. You can see on the right that it shows two "private" brothers, both born in the 1800s. Now take a look at her profile not in Edit mode. The private brother b. ca. 1880 disappears.
Her father's profile only shows one private son in both the edit page and the public view.
Her mother's profile shows no private children in the public view, but in the edit view, the son b. 1880s shows up.
p.s. Be warned: This family appears to be a bit of a mess. I'm trying to help someone get it straightened out.