The whole of that section is reproduced below with the new material (as best as I can identify it) highlighted in yellow.
What temporary accommodation costs will Southern Response pay?Published 14 January 2013
Southern Response will pay for reasonable accommodation costs for you and your immediate family residing with you. This allowance also covers kennel or cattery fees for your domestic pets.
(Please note that your entitlement depends on the type(s) of policy(ies) you held when the earthquake(s) took place.)
If you have an Advanced Contents Cover policy
Southern Response will pay up to a maximum of $2000 for reasonable storage costs at a storage facility approved by Southern Response. We will continue your insurance cover while your household contents are at the approved storage facility.
Southern Response may also pay reasonable costs towards moving your household contents to the approved storage facility and the cost of returning your household contents to your house (this may also be covered under your house policy.)
And if you choose to put your household contents in a storage facility, you will need to liaise with AMI directly to get further insurance cover for the period your contents are in storage.
If you have a Premier or Market Value House cover policy and have chosen to rebuild or repair with Southern Response
Southern Response will pay for removal costs under either of these AMI house policies (you will need to provide us with two removal cost quotes.) If a packing cost is included in the removal quotes, we will also cover this. Alternatively, if you wish to claim for costs spent on doing your own packing, we will reimburse actual costs incurred e.g. purchase of boxes and other packing material.
There is no cover for storage of your household contents under these AMI house policies. If you choose to put your household contents in a storage facility, you will need to liaise with AMI directly to get further insurance cover.
If you elect our Cash Settlement or Buy Another House option, there is no cover for removal costs.
If you have Standard or Premier Contents cover policy
You may be eligible for removal cover but it will depend on what kind of AMI house policy you have. If you do not have an AMI house policy, there is no AMI removal cover.
AMI Standard and Premier Contents policies do not cover your contents while they are in storage. Whether you choose to store your household contents in a storage facility or another location of your choice, you need to liaise with AMI directly to get further insurance cover.
Added 16 Jan 2013: there is a small update here.