I think this level of worship of mathematical models is the exact reason that physicists shouldn’t be employed outside of physics. Most academic communities have over the past several decades adopted a Bayesian point of view for their modeling purposes. The idealized perception of a perfect mathematical model is so antiquated, I would consider it the equivalent of a flat earth theory in modern statistal physics. I say this as a prior mathematician who has since seen the limitations of this perspective.
Its funny that in the same comment you mention statistical physics and claim physicists don't understand statistical modelling. Physicists routinely use statistical modelling in astronomy, in condensed matter physics and in high energy physics. The emergence of the Bayesian point of view was originally spearheaded by a physicist Edward Jaynes and the torch has been carried forward by many other physicists over the decades.
