I don't think orgies at the Olympics will solve the declining birth rate. In fact, orgies usually produce unintended pregnancies, if any at all, which are not the kind you want to grow a healthy population.
Why wouldn't "unintended pregnancies" help "grow a healthy population."
From what I've read, a major factor in the declining birthrate is perfectionism (e.g. people thinking they can't have a kid unless I have X, Y, and Z (usually expensive) things just right, when in fact the kid will turn out fine without those things).
Either way, everyone knows these "anti-sex" beds wont actually stop sexual activities. If anything, this will encourage them out of rebellion.