« Reply #7 on: Monday 30 June 14 02:38 BST (UK) »
Yes, although not listed as "Assisted Immigrants" they would still most likely have travelled in steerage. The majority of people did. After a time with the arrival of so many immigrants, the newspapers no longer provided the names of all the passengers, preferring instead to list only those few not travelling in steerage. And the full lists in many instances have sadly not survived.

Minniehaha.
HAMMOND, Cainham/Caynham, Shropshire, U.K. Otago-NZ.
GALBRAITH, Ireland, Dunedin, Otago-NZ., Kensington-London, U.K.
GRANT, Sct., Dunedin, Otago-NZ., Vancouver, Canada.
GLASS, Aberdeenshire, Otago-NZ.
CAIRNEY/CARNEY/KEARNEY/Ireland, Airdrie, Scotland, Otago-NZ.
O'BRIEN Mary Ann, Limerick, Otago-NZ.
NICOL(L) James, Scotland, Otago-NZ.
SCOTT Thomas, Shetland, Otago-NZ.
MCHARDY/MCHARDIE Euphemia, Scotland, Otago-NZ.