In Switzerland, where people have the legal right to control whether and how their image may be photographed and published, exemptions are made if the image/person is of public interest. This is decided on a case-by-case basis, so the news org has to be willing to argue this in court.

Let's say, as an example, a married politician having an affair with someone. Generally, news sites will publish photos with the face of the politician visible but would blur the other person. The former is clearly a person of public interest, the latter is not. Even if it's a photo taken in a public space.