I’m in a similar position to you - I was DQ’d on Nov 16 (I think - all my docs were “accepted” by NVC, and I have messages in my inbox saying that all documents are received and I am documentarily qualified, but no separate notification).
I was also struggling to find any information on timelines for scheduling the interview in Auckland. It seemed there was a 3-4 month delay caused by the FIFA World Cup event, but immediately prior to that there were a few interviews that were scheduled quite quickly, if I recall correctly (within a month or two), based on VJ timelines. I also dug up an old VJ thread where someone had mentioned that the Auckland Consulate sends the interview slots to NVC on the 3rd Wednesday of each month (which would have been Nov 15th). I have no idea if that timing of providing the interview slot list is still valid or not though.
Compared with other Consulates around the world I cannot imagine that the Auckland location would get that backlogged, surely…. I was assuming I might hear something from NVC by around Dec 20 (3rd Wed in December, and around 5 weeks since DQ’d). I was planning on submitting a request to NVC for an update if I don’t hear anything one month after my DQ date, just to make sure I’m in the queue.
I am updating my timeline, and will post here if/when I hear anything from NVC/Auckland Consulate.
If you scroll up you'll find tons of info in this thread, but you can also click on members Timelines (if they've completed it) to give you an idea. From the most recent couple of people who've posted it looks like you won't hear before Xmas but should early next year - seems to be around 3-4 months from DQ to IL and then another month or two until the interview. But the timelines will give you more info, you can also use the search function on the forum to find others timelines as well, good luck.