Calling this particular result "breaking a fundamental law" is just typical hyperbolic science PR.
Another good semi-recent example that comes to mind is the Nyquist–Shannon sampling theorem being "broken" by compressed sensing.
This is the key distinction: -proven- fundamental is very different from -considered- fundamental.
Overturning Heisenberg's Uncertainty Principle would shatter physics as we know it.
Overturning a misconception is far more mundane.
I mean, sure, some laws like Heisenberg's Uncertainty Principle can be proven mathematically from the axioms of a theory, but how exactly would that make it more fundamental than a law that is considered an axiom itself?
Certain things have an immense amount of supporting data.
PS FWIW Heisenberg's Uncertainty Principle isn't understood now as it was then - that principle as it was has been overturned.
Also, this does not invalidate the previous law necessarily; we still use Newton's laws because its assumptions hold under most circumstances.
We should bear breakthroughs like this in mind every time someone appeals to fundamental limitations of physics (or any other field).
So many times I hear people object that something can't be done because of some fundamental limit. But research like this proves that limits that are considered fundamental sometimes aren't, and we can't know ahead of time which of these limits really are fundamental and which only appear so.