This is why I ask. Depending on which civilization you talk to, right now is a post apocalyptic future. I mean, look at the western roman empire, or the mayans. Living there at the time would have seemed like the end of the world, but we don't really think of it like that now despite not actually being THAT far into the future. I can explain better, but I'm just not sure how different future far after an apocalypse is from just the far future. If it's the other (future experiencing an apocalypse), then I'd be willing to change my vote to that in the event of a tie.
I'm just gonna put this brainstormy specific stuff here for later as notepad doesn't want to save things properly today since it appears we may be going one of these two directions.