The author rediscovered Newton's method. Next in line is the realisation that Hessian can be approximated and we will see the rediscovery of BFGS, L-BFGS, etc.
I somehow find it more worrisome that someone who works as a "resarch advocate" and previously a "data scientist" thinks he's had novel insight into optimization over the weekend than that a medical doctor can't recognize that he's rediscovered basic numerical integration.
"The total area under a curve is computed by dividing the area under the curve between two designated values on the X-axis (abscissas) into small segments (rectangles and triangles) whose areas can be accurately calculated from their respective geometrical formulas."
It's like saying that Maxwell's equations "are just general relativity."