A physically meaningful notion of determinism should be formulated over equivalence classes of diffeomorphically related models, rendering the non-extendibility result physically vacuous.

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Diffeomorphically related(describing the relationship between different models): Smooth mathematical descriptions of the same physical situation that can be transformed into each other without tearing or breaking—like two different maps of the same landscape.
Equivalence classes(mathematical concept used to organize models): Groups of things that are considered 'the same' for a particular purpose, even if they look different in other ways.
Non-extendibility result(the technical result being evaluated): A conclusion that something cannot be extended or continued further—like a mathematical proof showing a solution hits a dead end.
Physically meaningful(questioning whether a theory describes something real): Actually relevant to how the real world works, not just mathematically interesting but disconnected from reality.

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