You seem to. That is a good point I hadn't considered - the tension from the sides holds it in place. Maybe we need to use a telescoping arm (which doesn't seem practical, I'm mostly joking). It might still work, but I imagine if you don't grab it on the first try, you may have to go back to the ceiling. And hope there are no strong drafts in the room.

EDIT: maybe lower it on three lines instead of one?