I've read that article before. I've worked on both voter and patient privacy, so have thought about privacy well enough for a layperson. IANAL, obviously.
We don't have the explicit right to vote either. Is that a problem? I don't know. Though I favor the notion that since we had to vote the Constitution into law, the right to vote is an unstated precursor (or whatever lawyerly language applies).
So it is with privacy. Privacy is a modern term. But the founders were certainly against unlawful search and seizure, compelled testimony, etc. Quacks like a duck...
I'll concede that, with a few exceptions, SCOTUS has historically been actively hostile towards individual rights.