应该没有。随着新西兰成立了自己的终审法院后,能够干涉的是新西兰,不是英国。连库克群岛元首也早换成了“新西兰女王”,全称是:“Elizabeth the Second, by the Grace of God, Queen of New Zealand and Her Other Realms and Territories, Head of the Commonwealth, Defender of the Faith”.
对比英国女王的全称:
"Elizabeth the Second, by the Grace of God, of the United Kingdom of Great Britain and Northern Ireland and of Her other Realms and Territories Queen, Head of the Commonwealth, Defender of the Faith."