The sufficiency claim therefore fails because the model class it targets—where probabilities depend only on λ and settings—excludes precisely those contextual models where the condition's behavior is most contested.

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Contested(the status of whether this view is correct): Disputed or disagreed upon; there's no consensus that it's true.
contextual models(as used in philosophy of science): Theoretical frameworks where the behavior or outcome of something changes depending on the surrounding circumstances or context, rather than being fixed and universal.
model class(as used in philosophy of science and logic): A group or category of theoretical frameworks or simplified representations used to understand how something works in the real world.
probabilities depend only on λ and settings(as used in probability theory and physics): λ (lambda) is a variable or parameter; this phrase means the chance of something happening is determined solely by that parameter and the conditions you set up, with nothing else influencing the outcome.

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