Sorry, I was unclear - yes, the oysters are very tasty (because they're always kept moist when roasting I suppose), but the flappy bits at the end of the wings I can live without. Actually you can get most of the oyster out with a sharp knife, but I won't pretend it amounts to very much.
The key thing about skinning for me is that it avoids both plucking and drawing, so saves a lot of time. We get enough stock from left over roasts, so we're happy to waste some carcasses to save time, since everything is a trade-off, one way or the other.