G'day Skip:
You asked: As this is presumably a BA code share, what did they offer you when your connecting service was delayed?
They told me to go back home and call BA to make new arrangements for the following day. Which I did; but the poor chap at BA said that he was unable to help and that I should go back to Ringway airport to re-arrange my travel for the next day. Naturally I was unimpressed at this shuttling back and forth, and made that clear. Credit to the bloke on the other end of the phone. He put me on hold and, after 30 minutes, had re-booked me onto another BA shuttle the following day, and a new QF flight from LHR-SYD. It was explained to me that he only did this due to my One World status. Which is nice for me, but a great pity for casual travellers who would otherwise be left in the lurch.
So I did get home to Sydney, but arrived a day late, which caused a few issues at work.