I want to provide feedback, but can't see the actual definition of the objective function in either of the cases. Can you write down a sketch of how this would be implemented using existing primitives (SI, ML) so I can argue against what you're really intending?
Some preliminary thoughts:
What evidence is there that incomplete models with Knightian uncertainty are a way to turn rough models of physics into loss functions? Can the ideas behind it be applied to regular Bayesianism?