Savory's pet idea is that we need more cows, not fewer, grazing on the arid and semiarid land surface, and we should have an holistic approach which essentially means we keep the cows moving to mimic the behaviour of the original wild herds. in this way we can combat climate change.
Unfortunately his approach has been critically examined by a large variety of ecological scientists and been found wanting, so it comes as no surprise that he rejects the science and the scientific method which undoes the vagueness surrounding his 'holistic' methods and his anecdotal (and sometimes misrepresenting photographic) evidence.
One such scientific study by the Briske team led to Briske actually rejecting a request for an interview saying "Frankly, I have grown weary of the grandiose and unsubstantiated claims of Mr. Savory".
The following, for me, is a reasonable definition of science.
Science is the pursuit and application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence.
Scientific methodology includes the following:
Objective observation: Measurement and data (possibly although not necessarily using mathematics as a tool)
Evidence
Experiment and/or observation as benchmarks for testing hypotheses
Induction: reasoning to establish general rules or conclusions drawn from facts or examples
Repetition
Critical analysis
Verification and testing: critical exposure to scrutiny, peer review and assessment
It would suggest that Savory decries this approach simply because it undermines his total belief in the veracity of his own hypothesis.