I don’t see anything wrong done here by Phys.org. It’s the world’s most sensitive dark matter detector so I’m happy they’re reporting on its findings. This isn’t some tabloid-level news but making its rounds at universities.

To be clear, they're reporting on an interpretation of a not-understood part of Xenon1T results (a low-energy excess in electronic recoil event rate). Here is the original paper by Xenon1T reporting on the excess: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.0...

And no, there's nothing wrong with it, but there are many many such interpretation papers any time an experiment reports something unusual and at most one of them (but probably zero!) might be true :).