Presumably if New Zealand "followed" the Arab world, Africa and the developing world, known for being scrupulously anti-racist, pro-individual rights and pro-liberal democracy, that would be an "independent foreign policy". However "following" the developed world, of countries that prohibit racism at the government level, that actually do let the judiciary hold the executive and legislature to account, that constitutionally and factually embrace free speech and individual rights to a relatively high level, is "following others".
Grant Robertson and Keith Locke mistake choosing to agree with the likes of the US, Australia, Germany and the Netherlands as being "not independent" which is frankly insulting. However, they wouldn't dare suggest that choosing to agree with South Africa, Saudi Arabia, Malaysia, Iran and China means you are "not independent".
It's just their own bigoted anti-Western scepticism over individual rights and the West coming to the fore - trying to paint the government as slavishly following the United States, even though the US has Barack Obama as President - who I don't doubt was the preference of both Robertson and Locke.
Keith Locke moreover supports this conference singling out the Palestinian issue, but happily lets the genocide in Darfur remain unmentioned, not least because Muslim states don't want to point a finger at a fellow Islamic regime committing racist murder, supported by China. Locke likes to see the UN as a meeting of equals, when it is a gallery from the relatively free to murderous butchering tyrants.
New Zealand attending this conference would imply its endorsement and being a party to an one sided set of resolutions - or it would be fighting hard to make it different.