[To answer the original question: No there isn't nor should there be]
While this is true, the privacy concern comes from the perspective of people searching for topics other people discuss to jump into the discussion, also known as Sea-lioning
This is a very special kind of harassment, and it is unfortunately widespread on places like Twitter where you have this kind of search.
If people want their posts to be searchable they can add a hashtag on it.
While it may not exactly fall under privacy concerns, it does fall under "anti-harassment", and that is why this issue is a wontfix.