I think if the information can't travel to you by the shortest, most direct path through vacuum without being sublimed away by spacetime expansion, then there's

I think if the information can't travel to you by the shortest, most direct path through vacuum without being sublimed away by spacetime expansion, then there's no other path for that information to get to you. The observed positions of faraway stars are also delayed by a proportional amount of time, so I think you can see the continued past effects of the unobservable star on an observable star, but nothing from after it became unobservable to you directly. I think that's the case in an expanding universe, but it might be the other way around in a contracting universe!