Hi, 

on my platform I am having an issue that is closely related to what you described before. As most of the content should be public and I want unauthenticated users to be able to search for content I need to keep the search option available. The issue I am facing is that the headers including the name of user profiles also show up in the search results. I have set the cover visibility to "Enabled for members only" instead of "disabled" and hoped that would do the job aswell. 

I have disabled the items and pages as described by Jeremy , so if I click on the profile it shows "access denied". 

I have reduced the permissions for "View person's profile" as described by Alex T⚜️ , to only standard, premium, moderator and administrator.

I have also deactivated the cover for "View Profile With Limited Visibility" a george1 pointed out.

But I still the covers of the member profiles and the names in the search results.

Can anyone give me a hint as to how to remove them from the search results?

Thank you and regards,

Stephan