Spatial separation of entangled particles imply physical separability?

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aletheia
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TL;DR
What demonstrates that spatially separated entangled particles are physically disconnected?
In experiments with entangled systems, the two subsystems can clearly become spatially separated and operationally distinguishable: they propagate to different locations, can be addressed by different apparatuses, and eventually produce separate local detection records.

For example, Hensen et al. describe entangled electron spins at sites separated by 1.3 km, while photon Bell experiments such as Rauch et al. enforce spacelike-separated measurement conditions.

Nonetheless, an entangled state is still represented before measurement as a joint nonfactorizable state.

So, what experimentally demonstrates that distinguishability and spatial separation necessarily imply complete physical disconnection of entangled particles?
 
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aletheia said:
what experimentally demonstrates that distinguishability and spatial separation necessarily imply complete physical disconnection of entangled particles?
What do you mean by "complete physical disconnection", and why do you think "distinguishability and spatial separation" would necessarily imply it?