Don't read what you want the articles to say, read what the articles actually say.
Specifically (from the first article): "Thus, some Supreme Court cases have held that you have no reasonable expectation of privacy in information you have 'knowingly exposed' to a third party — for example, bank records or records of telephone numbers you have dialed — even if you intended for that third party to keep the information secret."
Going on: "Records stored by others. As the Supreme Court has stated, 'The Fourth Amendment does not prohibit the obtaining of information revealed to a third party and conveyed by him to Government authorities, even if the information is revealed on the assumption that it will be used only for a limited purpose and the confidence placed in the third party will not be betrayed.' This means that you will often have no Fourth Amendment protection in the records that others keep about you, because most information that a third party will have about you was either given freely to them by you, thus knowingly exposed, or was collected from other, public sources."
That's the law, that's what the Supreme Court has said, not what the ACLU hopes or believes.
From the second article: "Q: Can the police get my medical information without a warrant?
A: Yes. The HIPAA rules provide a wide variety of circumstances under which medical information can be disclosed for law enforcement-related purposes without explicitly requiring a warrant."
That's the statutory law, at this moment, based on the Congress's reasonable interpretation of the Constitutional basis above.
Of course the ACLU hopes to get the courts to go the other way, but as they tacitly admit: courts have not done so to date. E.g. http://www.law360.com/articles/376791/warrantless-seizure-of... (Warrantless Seizure Of Medical Records OK'd In Drug Case).
At this moment, it's hard to describe 4th amendment protections as applied to medical records anything other than aspirational on the part of the ACLU.