I believe I can speak with a modicum of knowledge on this subject since, in the 1970s, I followed previous pioneers in applying what we called Sabbatical Fallowing. I, along with many others, discovered spectacular improvements in soil structure, water retention, better winter drainage, plant health and in particular animal health. In those early days, Alan Savoury was also espousing what became known as Regenerative Agriculture.
In subsequent years I have come to see the error in using livestock as a part of the concept. The original idea of Sabbatical Fallowing - clearly outlined in the Old Testament - was to give the land a break every 7 years, no matter what was being produced. Regenerative Agriculture brings livestock into the equation with the presumption that the land is better off having cattle grazing on it compared to the natural biodiversity that was there before farmed livestock were introduced. Alan Savoury was guided by the vast herds of wild animals moving in a regenerative manner through their natural territories and suggested that cattle could replicate this.
However the destruction of existing biodiversity, in order to farm cattle, is an environmentally negative act facilitated through the squandering of falsely cheap energy harvested from antiquity. It is only due to the availability of oil that domesticated animals have become so ubiquitous.
Cheap oil has promoted cheap beef, mutton and milk encouraging huge uptakes to the masses. We are now witnessing this graphical curve falling as oil is threatening to become more scarce and as wild animals and their associated biomass are suffering actual or threatened extinction. Along with this, there is a rapidly growing cognisance of the global warming effects of deforestation and desertification. Finally, veganism is becoming the new normal, with health and longevity closely associated with a meat-free diet causing a reduction in demand for farmed meat and milk.
Regenerative Agriculture may provide a temporary answer to some of the problems mentioned, but our world must be preserved for all time and livestock farming will never guarantee that.