The Stats NZ data do include both airport and seaport freight volumes to each country, so I am guessing if there was any air freight from NZ @CarlosG would have spotted it.
The only way there would be any exports to USA not picked up in the ports data would be if it transited via another country (I.e. Australia) but I don't think that'd be the case.
The Stats NZ data do include both airport and seaport freight...
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