Hi ghostboy,
SPACEBED DEFINITELY AVAILABLE ON SIN-FCO ROUTE.
It's "my" usual route (together with SQ325/6) and i can grant you SQ ALWAYS has operated this path with SQ772ER.
If SQ has told you there's no spacebed they need to check their knowledge. I don't think they are going to change something now.
BTw, check here: -->
http://www.singaporeair.com/saa/en_U..._NEWSPACED.jsp
About Load factor, especially SQ340 is always waitlisted (SQ339 seems to have less difficulties).
Let me know if you need more infos.
CIAO
luke.