I must admit I am not on board with this although I definitely understand the sentiment.
Yes, I want him to play for NZ and I agree that he should not be able to pick and choose when he plays (too bad there is a precedent there). I also think that he and others may need a break. When have those players last had one I ask? When are they likely to next get one? I am in favour of them missing this game to take a decent break if it means they are in top shape to help us qualify for 2018 but then it needs to spelt out to him "You will be available for the next few years on this 'break' period to ensure we do qualify and we do have a decent build up."
I also think he needs to be careful the language he uses because as you say, the people of NZ are not on board with it.
Edit: I also do not view him as the captain. Winston Reid is and Tommy was a fill in. His agent should also get smart and tell him to shut up quickly. If the truth is that Wood is looking to miss it as well, at least he is not carping about it in the media.