Note the first assumption: "The choice of which measurement is performed can be made randomly and independently of the system under observation". In the Physics

Note the first assumption: "The choice of which measurement is performed can be made randomly and independently of the system under observation". In the Physics Today article, this becomes "if an experimenter is free to make spin measurements anywhere". Either way, the conclusion that "systems in hidden-variable theories must have an infinite memory" only holds if you assume free will.