A statement does not flicker back and forth between being factual and not being factual based on who is observing it. If you cannot understand the concept of a fact that you cannot personally verify, further conversing is fruitless. Please leave me alone. [**]
If "xbeliefs" are not logically-necessary, I'm not sure what "problem" they're trying to solve. The idea of "the world outside the mind" is a bit strange as an axiom, since we are necessarily trapped in the epistemological prison of the phaneron. In other words, anything strictly "incomprehensible" ("outside the mind") can safely be bundled up within the broad and nebulous category of the noumenon. Why would anyone bother themselves with an undetectable data set?
A FACT must be empirically demonstrable and or logically-necessary QUANTA (and emotionally meaningless).
An OPINION must be personal, private, experiential, unfalsifiable, qualitative, indistinguishable from GNOSIS (and emotionally meaningful).