That's interesting, Paul, and has made me look at these in a new light (no pun intended).
Why I found the back plates a puzzle was that being clear glass the screws are clearly seen and it's not exactly an ideal way to secure the sconces. Normal sconces would have had a decorative metal back plate which the arm would have sat in.
These arms are hollow and, having taken one off the wall, I can see this goes through to the backplate, suggesting the arms and backplate are blown in one. There is an applied knop around the base of the arm where it meet the backplate which I assume provided strength. The glass tube which the candle sits in is smooth and there is no sign of anywhere for a gas or electric fitting to be secured, but the plaster where the candle holder is secure to the arm (hidden by the gilding) has a small hole roughly poked through it which looks much more recent and not original - perhaps someone has tried to convert them to electric.
As to the missing drops, I see your point about them being impractical so I guess they were mere decoration.
The glass is clean and clear with just the usual striations and odd bubble .
Thanks for your thoughts. Perhaps there are some specialists out there who may offer theirs too.
Ian