Most of the time Solstice/Eclipse will dock at the OPT with her bow pointed towards downtown Sydney (I have seen photos where the reverse was true). So, yes, with that orientation the Opera House will not be on your side of the ship.
However this does mean that your starboard side balcony will be facing the Opera House as Eclipse sails past it on her way out of the harbor.
BTW, the Opera House guided tour is excellent.
Sydney Opera House, Dec 31 2017