If Pamela and Fraser are each still holding on to their end, and we're standing (floating?) next to Damien and his scissors, and we observe Pamela and Fraser receding at 36.75km/sec... then both (cut) ends of the rope will eventually accelerate to 36.75km/sec away from us, depending on the elasticity of the rope... unless the inertia of the rope is somehow greater than the Hubble Constant, in which case we wouldn't observe Pamela and Fraser receding???

...someone pass another beer?

__________________
If something is in me which can be called religious then it is the unbounded admiration for the structure of the world so far as our science can reveal it... of the manifestations of the profoundest reason and the most radiant beauty, which are only accessible to our reason in their most elementary forms...
Albert Einstein