> We hypothesize that this convergence is driving toward a shared statistical model of reality, akin to Plato's concept of an ideal reality

Quite the opposite: it's a shallow shadow (no meanings, just chains) model of shadow reality captured (no translation to abstract) by language (only things for which we have names) etc. What they wish is a model of actual reality, not of that one from distorting mirrors.

The sanity is in what the one source of truth is - not like people could be a shadows of some ideal model being a reality (edit: statistical). However people actions are mostly results of using models (of situation, reality) and making them ad hoc.