This is a spin-off of the following question: Are Thomas Breuer's subjective decoherence and Scott Aaronson's freebits with Knightian freedom the same things in essence?
Given that Thomas Breuer has proven that universally valid theories either deterministic or probabilistic are impossible, I wonder whether the result extends to possibilistic (rather than probabiblistic) theories as well.
By possibilistic physical theories I mean such theories in which the most complete physical description of a system includes uncertain probability. For instance, those who employ the mathematical apparatus of Dempster-Shafer theory, Graded possibilities, Sugeno Lambda-measures, Belief and Plausibility measures, Fuzzy set theory and others studies under recently-developed Generalized Information Theory (GIT)
Can such theory be universally valid in absolute (rather than relative) sense (albeit having even less predictive power than a probabilistic theory)?