Never heard of holistic planned grazing. Regenerative agriculture encompasses (among increased biodiversity) everything that combats and reverses soil erosion and the effects on ground water. So also stuff like creating silvopasture.
Not sure what you mean with actually works. There is soil erosion (it determines the value of any farmland you buy) and methods to create new topsoil. Same with different levels at which you deplete ground water. Which part do you think to be quackery? Searching a bit it seems Alan Savory made some outlandish claims about carbon dioxide?