It feels like the author wrote themselves into a corner and supernatural was the only way they could make the plot go foward.
I'm willing to believe the author knows what they're doing.
A lot of the "supernatural" things in this series are theoretically possible extremes of real world phenomena.
Giant monsters? Extreme deep sea gigantism.
Nue EMP? Scaled up electrocytes(the cells that make electric eels electric).
Nue flying? Using the electrocytes to achieve a form of quantum levitation.
Honestly, you could make a case for most things in this series, human-monster ESP included, to be forms of electrogenesis and electroreception.