Please note that the entanglement here are on spin states in equilibrium with a mean temperature bath - this doesn't apply to e.g. a pair of (or sets of) entang

Please note that the entanglement here are on spin states in equilibrium with a mean temperature bath - this doesn't apply to e.g. a pair of (or sets of) entangled photons (which aren't interacting with anything on the way to the detectors.)