They have engineers/technicians based in the US as well and I would assume most of those are US Persons (US Citizens or Permanent Residents). In the US you can get ITAR exemptions for non-US Persons but from my understanding it's a more difficult and much more expensive process so it is only done to recruit very high level talent.
I'm at SpaceX, which is a much larger company than Rocket Lab, and I can probably count on two hands the number of non-US Persons working here.
I'm fairly certain that Peter Beck, Rocket Lab's founder and CEO, who is a Kiwi, lives in Socal now.
So I would imagine that from NZs perspective it wouldn't be a big deal to let foreigners work on export controlled projects.
I'm not sure how Rocket Lab splits design/manufacturing but they just moved into an pretty sizable facility in Hungtington Beach, CA a few months ago and I know for a fact that they have engineers and technicians on staff there.
In any case it's great to see them progressing.
But any project like this is a multinational effort - while all the engineering, design, manufacture, operations, etc. are in NZ there is nowhere near enough space expertise located here so the team itself is very multinational.