I agree with maxiesmom! Choose the two rooms that are the type that you prefer and make connecting rooms your only request. When you arrive, if you don't get connecting, you can mention at the desk that room type is less important to you than connecting rooms and ask if it is at all possible to be moved so that the rooms do connect. You can also ask to move rooms in the next day or two if they will have availability at a slightly later date than your arrival.
Without knowing how many rooms of each type are connecting at AKL, it is impossible to answer your question with any certainty. Your chances also depend upon how many people have booked connecting rooms for your arrival day, etc. I expect that priority would go to families that need connecting rooms to accommodate children without having to split parents, for example.
Personally, I would book 2 rooms with savanna view, and request connecting rooms. Having paid for the more expensive rooms, you can offer (at check in) to accept a down grade to pool or standard view if connecting rooms are available in one of the other categories.
In other words...If you seriously want connecting rooms more than anything else: We have found that you are more likely to get connecting if you are willing to accept any room category despite having paid for the highest priced category. More connecting rooms are available to you, for example, if you are willing to pay Savanna prices and stay in a standard room in order to get your request.
I would call and get the connecting rooms request added at booking plus use touring plans to send the request.
Good luck!