The religious far outnumber the not so I think your "unless" is really the norm. Talking only the various Jesus fanclubs you have a literal divine right to privacy in confession and it's sinful to reveal another's secrets. The Adam and Eve creation myth establishes privacy when God created clothes.

The very concept natural rights is basically divine rights but without explicitly mentioning a god.

It seems that more religious societies have much less privacy. Like, go back to Middle Ages. It would blow out minds how those people lived.

If having rights is a social construct as opposed to a universal truth, then you don't have any rights at all. You have temporary granted permissions, but not fundamental rights.

As such, it's much more likely that they are universally true rather than a result of human consensus.