Dream About Me won the Auckland Cup in race record time last season and could be joined in the race by stablemates Heaven Rocks and Vincent.
By not going to Perth she is the surprise entry for tomorrow's $260,000 sprint, while Heaven Rocks is an equally surprise omission.
He disappointed Purdon with his manners in the Cup, the big occasion clearly getting to him.
Her owners said they were just as happy for her to stay here.
Dream About Me would have been favourite for the Free-For-All but has drawn the outside of the front line while New Zealand Cup placegetters Jack's Legend (3) and Tiger Tara (5) are drawn to control the race.
Tiger Tara, who was a gigantic third in the Cup after galloping down the back straight when he jumped a mark on the track, was originally set to miss tomorrow's race as he too is heading to Perth. But he is instead flying over the weekend, going from Christchurch to Sydney, Melbourne and then Perth all in one day.
The New Zealand TAB has Lazarus $2.40 to win the Inter Dominions, while Australian bookmakers have him as long as $3.20.
Another big name hugely disadvantaged by a group one draw tomorrow is Bordeaux in the $300,000 Dominion, with the free-going trotter to start off the second line while brilliant Tuesday's Trotting Free-For-All winner Great Things Happen will start off the front.