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I am sure that over time there are changes in relationships based on changes in the overall world situation and of course the very regulated European situation, which is the cause of significant ongoing dispute between the UK and the EU themselves.
I have in the last decade visited NZ a couple of times and far more frequently Australia. These were on business visits within the aviation community including in some instances the Air Forces of both countries. I did not get the impression during these visits there was any serious degradation of the relationship. Be that as it may, all are entitled to their own opinions and perspective.