Linear no-threshold isn't under attack, but under review. The game-theoretic conclusions haven't changed: limit overall exposure, radiation is harmful, more radiation means more harm. The practical consequences of tweaking the model concern e.g. evacuation zones in case of emergency; excess deaths from radiation exposure are balanced against deaths caused by evacuation, so the choice of model determines the exact shape of evacuation zones. (I suspect that you know this but it's worth clarifying for folks who aren't doing literature reviews.)
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