Press is a thing people do, not a credential people have. All people should have freedom to observe and report on (to the extent they wish or do not wish to) actions of the state. Restricting that should have severe punishment.
The reason they have special protection is because the constitution grants them special protection. The question of who is "the press" in this day and age where anyone can publish anything is certainly up for debate though.
I'm not a lawyer, but it doesn't
> There is no precedent supporting laws that attempt to distinguish between corporations which are deemed to be exempt as media corporations and those which are not. We have consistently rejected the proposition that the institutional press has any constitutional privilege beyond that of other speakers.
Supreme court in citizen's united, internal quotation marks omitted. https://www.supremecourt.gov/opinions/09pdf/08-205.pdf
> protections of the First Amendment do not turn on whether the defendant was a trained journalist, formally affiliated with traditional news entities, engaged in conflict-of-interest disclosure, went beyond just assembling others' writings, or tried to get both sides of a story.
9th circuit in Obsidian Finance Group, LLC v. Cox http://cdn.ca9.uscourts.gov/datastore/opinions/2014/01/17/12...
Social media platforms, take note!