As for "Unverified Parents," it seems to me that this template is used primarily in situations where there are serious issues with (or controversy about) the connected parents. For example, I recall this template being used on a profile for a "questionable Gateway ancestor" when there were no valid sources identified for the parents (but those parents had been widely documented in old books, on the Internet, and in at least one very recent self-published book of family-history puffery) and an article by a noted genealogist had noted an absence of evidence for those parents. (The parents weren't removed right away out of courtesy to contributors who were confident their information about the parents was good.) In cases like that, even when the profile is Open, the advice to post a bulletin board message and/or contact a profile manager seems to be entirely appropriate, since discussion of the new sources would be needed.
And the template does have an option for providing additional details at the end.