I spoke to my CO yesterday and questioned this same question. I asked if my husband applies to study will I get a study visa or work visa. Her reply was if he chooses to study a course on the LTSSL, then the partner gets a work visa. So the course of study has to be on the LTSSL from what I've been told in order for the partner to get a work visa.
Now I have a different question. If my husband were to apply to a university now, how soon do they tend to reply and give an acceptance letter? Then once a student visa/work visa is issued, when are you allowed to move to NZ? Do they issue the visas based on the dates school begins or earlier so there would be time to move?
EOI selected: 06/04/11
EOI Successful: 28/04/11
ITA received: 29/04/11
ITA in London: 29/06/11
ITA approved: 14/10/11
see my signature for all other dates