Example: if I want to say Brian accessed my website last Thursday.
This information is has to be kept away from the public, including journalists, but there is no law preventing journalists from publishing information about someone's health. HIPAA doesn't cover journalists, it just prevents covered entities from giving journalists information.
The constitution specifically calls out for a "free press."
HIPAA exists... and it doesn't prevent the press from using that information.
I'm not sure your really have a good grasp on what any of these laws actually do, let alone 'free speech'. You keep alluding to complications that don't exist and don't explain what you're talking about.
For "press freedom" defined as the writing and publishing of articles, it's unaffected.
For "press freedom" defined as literally any action a member of the press takes, sure it's affected, but that's a very flawed definition. It's not like drunk driving laws are an infringement on "press freedom", even though they occasionally affect members of the press.
Or perhaps, that USA Today is collecting tracking data on its users and selling it secretly to 3rd parties and doesn't want to stop spying?
Plenty of other newspapers have had no problem implementing GDPR. It's as simple as not spying on your users.
It's not like information doesn't have restrictions already, those situations do not seem to have been ruled unconstitutional...
https://gdpr-info.eu/art-17-gdpr/
But then look at para 3.
> Paragraphs 1 and 2 shall not apply to the extent that processing is necessary:
> for exercising the right of freedom of expression and information;