I was just thinking about this subject when comparing someone born in the 1910's. Their privacy setting was "Private with Public Biography". This makes the parents identity are private as well. The problem is deciding if that profile is a match when you know the profile has the parent's identified, but you can't see them.
According to the current rules, Open is not an option for living people so someone must have entered a date of death or marked the death date "about/uncertain but non-living" and also manually changed the privacy setting to Open. If I understand the process correctly.
There is already a rule in place that says you shouldn't do this without a source.
I disagree that these profiles should not be created or abandoned, but should be set to private.
Wikitree is worldwide so the following suggestions only reflect how privacy is perceived by in the United States Government.
We know there is a distinct difference in privacy levels between those born before and after April 1, 1940. Both my parents are still alive, but one was born before this date and one very shortly after.
I believe that the privacy level should be "private with public tree" for anyone born before April 1, 1940 unless controlled by a profile manager. I think this is similar to how it works for those born more than 200 years ago.
A Private with Public trees is exactly like Private profiles except that the person's Family Tree is public. Since they're connected, this also means the Gender and DNA test connections are public.
I think that for all private profiles, whose date of birth makes them over 100 years of age, should be Private with Public Tree. IMHO, revealing the Identities of the parents in these cases has merit.
In this latter suggestion, the privacy of the living does not change if we presume that those over 100 years a not living.
In the prior suggestion, we still may want profiles who are less than 100 years old but born after April 1, 1940 to continue to be private. I don't think we can determine the intent of those already entered, so maybe changing the default to be private with Public tree for new profiles being entered. This allows for a profile manager to make it private.