The news media has an interest, and a constitutional right, to record and publish this information. How would a law enforcement officer determine whether the face was recorded during this?
If some privacy right exists that prevents publishing of the image of the face, that is a different inquiry. Saying that the face cannot be shown in a news broadcast is not the same as saying that it cannot be recorded at all.
A privacy law that prohibited the latter would likely be unconstitutional. Whether the former was or wasn't would depend on how broadly such a statute was written.
When "privacy" statutes implicate and constrain our constitutional rights, we should all be skeptical as citizens. No statute should be allowed to infringe on our fundamental rights.
I find it very hard to believe that any prosecution based on these statutes would be successful, if they are written in the manner in which you describe.