OK - you win.  We will book a hotel on Sunday night in Darling Harbour - that is central to everything Sydney has to offer.  We are trying to get a timeshare exchange for the three of us 
here.  I have to wait till Monday until I can speak to the RCI call centre.  We'll keep you updated.
Oh, and go ahead with the luncheon for 3 at Sydney Tower buffet - it's a real treat and the views are unforgettable.
ETA:  BTD - Sure, come on down !!!