Using the Google Search Console "Obsolete Content Deleted":
I asked for the removal or re-indexing of my profile pages on two third-party websites, which I had just removed my current name, which were denied (the purpose of the application was such that they would not return the search results to me or contain my deleted name in snippets or URL).
When looking for my name: "John Doe" on google.com, for site1 (request made twice, the second was more explanatory but still refused):
site1 (unchanged public profile address): site1.com/people/username1
site1 (old title of the page): John Doe on Site 1
site1 (title of the current page): J D on the site 1
site1 (words in the deleted page): "John Doe" (now appears as "J D" on the site)
For site2, the words "John Doe" do not appear in the page, but in the URL (request also denied):
site2 (old address): site2.com/profiles/john-doe.html
site2 (current address): site2.com/profiles/user-name-other.html
site2 (page title unchanged): User name, other page
However, for this second site, the entry of any non-existent user name is transmitted to a general directory rather than to a 404 or other error, for example by going to:
During my last attempt, these two requests for deletion / reindexing were refused, so that the search for my name (ex: "John Doe") always returns them in the search results, apparently not reindexed:
site 1 still contains John Doe in his title in the excerpt even though it has now been replaced by the initials J D in the title, and
The site snippet 2 still contains my name in the URL ("john-doe.html"), even though this has also been changed, as well as for any non-existent user name transferred into the directory (rather than my profile), as shown (So, from Google's point of view, the page "still exists" and does not return error).