From one link: CBD has a significant therapeutic effect for epilepsy (SMD − 0.5[CI − 0.62, − 0.38] high grade) and Parkinsonism (− 0.41[CI − 0.75, − 0.08] moderate grade).

The other link is about Phase II clinical trials, i.e. ongoing research.

The point stands that there is as of yet insufficient research done to say that CBD is a fit medicine for anxiety/depression. That nature link literally says: "Evidence suggests cannabidiol (CBD) has anxiolytic properties, indicating potential for novel treatment strategies."

Suggests. Potential.